I have no problem with a 09V being on a one to one basis far more capable than an SSKN. However, the SSKN offers capabilities far superior to an SSK. While it may not be able to perform “all the mission” of SSNs, the same is true of any class of SSN (e.g. Seawolf cannot perform all the roles of Virginia and vice versa).
SSKN is really a shorthand for what should be properly called nuclear-Stirling-battery-electric submarines, in contrast to the tradition nuclear-turbine-gearbox submarines. The fundamental trade off is for quietness over sustained top speed, while retaining the capability of high speed burst in tactical situations.
This is an immensely worthwhile tradeoff for the PLAN because of its maritime geography and the variety of missions for its submarine fleet that does not require sustained top speed.
Once this class is produced, I am confident that it will be described and treated as an SSN by the USN and allies.
I'm not asking you to accept that 09V will be more capable than SSKN, I am saying that the difference between SSKN and your average contemporary SSN means that the SSKN (as described in rumours) cannot be compared with a SSN in role and is much much more appropriately compared with SSKs instead.
If we look at the inherent changes that the SSKN offers as an improvement, it is basically offering just much improved submerged endurance on part with a proper SSN.
However the SSKN still suffers from a massive deficit in speed compared to a proper SSN that is not hugely dissimilar from what a typical SSK holds compared to a proper SSN.
When the SSKN's "high speed tactical burst" is still much lower than that of the sustained transit speed that a proper nuclear submarine and when the SSKN's tactical speed is also much lower than a proper SSN's tactical speed, then yes that is a massive omission which cripples the idea of a SSKN doing the roles currently done by SSNs in any meaningful capacity except for suboptimal scenarios.
I have nothing against the idea of the SSKN -- if it is real and ends up developed and works and is not too complex or costly I think the PLAN would absolutely have a demand for them and it would be a significant capability lift.
However the SSKN will take on the orbat role held by SSKs, and will not impede on the roles that are held by SSNs.
Heck, even as this discussion around the SSKN continues into the coming years, the mere idea of comparing the SSKN with proper SSNs (rather than calling them as longer endurance and more capable SSKs) reeks of trying to upsell the SSKN as something more capable than it really is and would be an unforced error in the discourse around it by trying to defend an indefensible position.