You could have multiple nuclear power plants throughout the ship... it does not need to be centralised, and would be better for battle damage resistance if they were widely separated.
Being able to hold station precisely and to manouver in tight quarters is useful for any sized ship, but more so large ships.
US and Norwegian experience with civilian ships suggests that even at night collisions are an issue... being able to rapidly stop and move sideways would be invaluable... and being able to manouver precisely means you could sail in to places other ships couldn't follow you...
It has close to 200 MW shaft power, means with a podded full electric propulsion it would nee 2000-3000 tons of electrical motors.
I doubt they have motors of that weight, but more importantly have never tried to make electric motors for ships of that size and weight.
Actually making ships that size and weight will mean work will be done to reduce weight and size and improve performance.
You sound like PD saying EM cats are a waste of time and money, yet the reasons for making catapults using EM instead of steam are pretty clear, and the technology and materials needed to make them efficient would also be very valuable in an all electric drive ship propulsion system.
If they can get them working well it has enormous growth potential and enormous performance potential that will make ships safer and faster and much more manouverable even if it just has two podded electric motors at the front that can angle down to lift the hull in high forward speeds with the rear props fixed like traditional props for forward propulsion and high speed...