Excuse me? Maybe that's what the Kriegsmarine decided due to the urgency of war, but may not be what the PLAN decided.
Kriegsmarine example was just an illustration of a "research complete" approach.
Instead, they proceed at their own pace,
Everyone does his development at their own pace.
It doesn't matter if China creates nuclear carriers or conventional ones, this goes beyond length measuring context. China is clearly creating a
system of systems capable of taking on a similar US ecosystem.
For it, there are technologies that lie on a key path, and there are technologies that lie on a secondary path.
Nuclear/conventional propulsion for carrier doesn't lie on a critical path for China
right now - and probably will never will; it's a question of optimization as of now. IEPs for frigates, though probably
actually does, because whole investment into carrier battle forces has to be able to deal with US sea denial assets (read - the huge fleet of Virginias).
For this, frigates
have to be capable of properly listening at higher speeds - if possible, right to the point where towed array itself becomes deaf. Because CSG at combat needs (not just "good to have") these speeds, and it needs them continuously.
US are cheating here, because they can get higher silent speeds off the shelf (+need is lower, to begin with - their opponents rely on different means of attack).