There are several way to skin a cat
To be clear, I am just open thinking this myself... when I read they have a 57mm grenade launcher I assume it is because a bigger HE projectile is a useful thing.
I know they already have experience with 30mm cannons and 73mm calibre rocket launchers and 100mm rifled guns with their BMPs.
The reason they used the 73mm rocket launcher was because the ATGM they were using couldn't hit a target within 300m at the best of times... often 800m if the remote launch system is used away from the vehicle, so the main gun had to kill tanks to that range. Fortunately at that time the 73mm gun was up against M60 tanks and Chieftan and Leopard I and other vehicles it could actually penetrate.
The point I am getting at is that in the west they think the 73mm gun is stupid and useless and it was only when they developed the BMP-2 with the 30mm cannon that they actually got it right, but they actually had the 30mm cannon as an option for the original BMP... they chose the 73mm gun which essentially fires a 73mm calibre rocket that looks exactly like an SPG-9 recoilless rocket round... in fact I think they might be interchangable... the main difference is that the 73mm round for the grom gun has slightly less propellent.
When it came time to arm the BMP-2 there was a higher pressure 85mm rocket launcher weapon with much better range and penetration put forward but it was recognised that the larger gun could not be retro fitted to the BMP because its turret was already recognised as being too small... so they kept the 73mm gun on the BMP and adopted the 30mm cannon on the BMP-2. Problems with fumes inside the vehicle from the 2A42 cannon when fired at the highest firing rate led to the long recoil 2A72 30mm cannon for the BMP-3 with a lower rate of fire but no fume problems. Their attack helos had external gun mounts so fumes were not a problem so they kept the 2A42 for that job. The HE power of the 73mm gun was useful so the BMP-3 had a 100mm rifled gun which made barrel fired ATGMs possible.
I agree if they develop the APFSDS round for BMP-3's 100mm gun, they will not need to develop the S-60's based 76mm gun
The thing is that the BMPs need guns that can destroy enemy BMPs and I think even the 57mm grenade launcher round should have enough volume and space for a large heavy projectile penetrator (in comparison to the 30mm APFSDS) and plenty more propellent to achieve much better penetration than any 30 or 35mm round. If you look at the 45mm telescoped rounds they are essentially 45mm diameter rounds that look like straight sided coke cans with a rim at one end. In terms of HE round the 57mm grenade has a much bigger HE projectile than the telescope rounds so in terms of HE potential it is much better for most stationary ground targets. The volume should also allow a much more powerful APFSDS round too because of the increased volume for propellent as long as the chamber and barrel are designed for such high pressure rounds and I presume if they make APFSDS rounds that it is.
I would say if HATO go for tank level protection for all their vehicles like Armata then rather than going for a 100mm gun with an APFSDS round that they would probably load more Kornet type missiles as a cheaper solution.... the point is that costs and issues of ammo... a 125mm turret basically takes away too many internal seats with a BMP, though I suppose when fighting an enemy with tank based vehicles then you just have more tanks able to take them on in each force so a tank division might have 5 or six tank regiments instead of three, while a motor rifle division might have 2 or 3 tank regiments instead of one.
The point is that right now their 30mm cannons are becoming marginal... they don't have huge HE payloads, and the standard widely used rounds don't offer amazing penetration performance.... they are very good very useful weapons but HATO IFVs are getting better armoured and they are becoming less useful.
These new 57mm weapons both likely with APFSDS rounds should comfortably defeat HATO IFVs that are not tank based to 2km or more... and Bulat missiles should defeat them at 3-4 times that distance too if they are moving. A Bulat hit to stop the target and then a burst of four or five APFSDS rounds into the stationary vehicle should be an effective way of taking out the enemy...
In that case, should they re-arange the curent complex of 100mm and 30mm guns? I mean they can top the 2A72 30mm gun on the 2A70 100mm gun so both of them are installed right in the central of turret. When firing, the strong recoils will not make the turret spin and effect the ballistic accuracy. Of course, the turret will need to be taller to accommodate the guns arrangements like that.
The original BMP-3 had the 100mm off centre which wasn't really a problem with the original ammo they used with a 4km range... it was very much a low pressure gun. The new 100mm rounds with more propellent that allows targets out to 7kms to be engaged were higher pressure and often cracked the turret ring because the recoil was offset to one side. They fixed that by moving the 100mm gun to the centreline and mounted the 30mm gun next to it... the recoil of the 30mm is nothing like the recoil of the 100mm gun. Neither would make the turret turn during firing but the asymmetric force, as I said cracked the turret ring because the offset gun mount meant the extra recoil was not balanced and did not impact the turret ring evenly.
Eventually they might experiment with a 100mm APFSDS round... it would be an interesting anti armour round for a light 6 wheel Typhoon vehicle perhaps... the rounds themselves are very small and relatively compact and being one piece could be loaded into an ammo handler and achieve quite a good rate of fire... it has a useful HE capacity and a decent anti armour performance against more heavily armoured targets... it would be very much like the Israeli 60mm or 105mm rounds that would be good in third world countries against a third world enemy... with a wheeled platform it would have good mobility and low operating costs... cheap and simple to maintain... and rely on good optics to see first and shoot first to compensate its lack of armour.
Of course you could also put it on an Armata chassis for use in places where the enemy does not have any armour... it could probably carry 150 rounds of ammo in the crewless turret and turret bustle... low recoil small compact rounds, and with a good HE round for most targets... increased barrel length and perhaps increased propellent models with smaller HE rounds for targets out to 10-12km or so... which is about as far as most 125mm guns can shoot HE (mainly because their elevation limits) but being a 100mm 2A70 gun it could have high elevation for targets in mountains or tall buildings etc...