China has modern integral reactor designs. Take the ACP100 for example.
That reactor has a similar power level to the RITM-400 the Russians designed to use in the Leader icebreaker and the nuclear carriers.
A reactor half that size with similar technology could be used in a nuclear submarine. They would just need to increase the refueling cycle to 10 years.
This should not have been posted, because now you'll have to justify relating these reactors with the idea that they can be utilized or are relevant to nuclear submarine appropriate reactors.
The argument overall would be far stronger by just saying that Chinese nuclear reactor propulsion has likely advanced in the multiple decades since the original 09III pair were first designed and produced and to just leave it at that.
Considering a very limited space on 093 and 094, is ACP100 suitable for those?, I read the ACP100 SMR and it seems the dimension is quite large, of course a lot smaller than ACP1400
See above.
None of us have any knowledge as to what the exact types of nuclear submarine relevant reactors are for the current and forthcoming generation of Chinese nuclear submarines, however given the pace of overall PRC industry and other nuclear advancement it would be reasonable to surmise that their nuclear propulsion adjacent industries have also advanced.