I actually think the PLAN might get into SSGNs in a fairly big way.
Firstly, basing one off the next gen SSBN would increase hull number and greatly decrease unit cost.
Secondly, the PLAN surface fleet is unlikely to be able to effectively challenge the USN outside the second island chain for maybe a generation.
A SSGN fleet would allow the PLAN to strike to US logistics and staging grounds from Hawaii all the way up to San Diego, and could also allow them to launch saturation missile strikes against USN surface fleets transiting towards the battlefronts near China.
That exponentially increases the defensive burden of the USN, meaning they need to leave significant assets to defend their home bases and/or try to hunt down PLAN SSGNs.
Sometimes the best defence is a good offence.