The main problems with autoloaded guns are 1) Gun must be at a specific elevation to be reloaded, which throws away aim and 2)No ability to remove already loaded round. What if the tank is carrying an HE shell but encounters enemy tanks which it can ambush? it has to shoot the HE shell in order to load an APFSDS, which would spoil the ambush.
Tank guns only operate in an elevation range of maybe 35-40 degrees if you are lucky... minus 5-10 degrees to plus 25 to 30 degrees... normally less.
Most tank guns return to a specific elevation to make loading possible... if they don't then at some angles they would make manual loading very very hard.
The gun aim is all electric drive so positioning the gun precisely is all done automatically on every modern tank anyway... and so is aiming off to hit the target and auto target tracking... if the tanks gun elevation and traverse systems are inaccurate then that is a totally different problem from having or not having an autoloader.
The precision of laying the gun on target or moving to reload and then accuracy of moving back has nothing to do with the autoloader.
The 125mm gun the Russians use is a two piece round... it would not matter what sort of auto or manual feed system they used, you can't remove rounds manually except for in base sticking the big rod they use to clean the barrel down the barrel to push the projectile out.
If you can't reload rounds why would you drive around with ammo in the gun?
If the tank is part of an ambush it would select the suitable ammo just before opening fire... if the tank is driving along it would leave its main gun empty because normal operation in a tank is not for the commander to say... hey gunner put any old shit shell in the gun you like... knock yourself out and then I will pick a target we can use it against when we find some bad guys...
Normally the commander would be spotting for threats and targets... having a shell loaded means the next shell could already be selected so firing the gun and reloading the next round can actually be rather fast because the autoloader does not need to rotate to the next available round before loading it...
If the tank is engaging an ATGM team it has spotted 7km away and is lining up a HE Frag shell to ruin their day and an Abrams appears... the tank commander would probably cancel firing the HE round and reverse behind cover... the round could be fired in the barrel and a new round loaded and then move from behind cover to a new firing position and try to locate the Abrams again... call out both targets for other vehicles in the unit to engage too... someone else might get both targets.
Of course as the new rounds are developed and they get bigger and heavier... the propellent and projectile components of the 125mm round are 30-35kgs in the confines of a turret... larger calibre guns are going to be much heavier rounds... manual loading is not going to be possible pretty soon anyway.