No, not really. China didn't expand Huludao to have 4 times more construction bays for future PLAN SSNs than the US have with Newport News and Electric Boat combined just so they can procure more SSK-Ns than SSNs.
Despite the nuclear "addition" on the SSK-N, the difference in characteristics and capabilities of SSK-Ns (which should displace ~3000-4000+ tons submerged) versus SSNs (which typically displace twice as heavy or more, i.e. ~8000-10000+ tons submerged) is actually vast.
You could even say that the SSK-Ns are pretty much the pinnacle of the SSK-species development. That still wouldn't make the SSK-Ns as capable as (or even equivalent to) the SSNs that warrants replacing the SSNs for many combat and non-combat missions, however.
I think you are looking at this slightly wrong by making this a choice of SSN or SSK-N. The PLAN isn’t necessarily choosing between them as choosing both. And almost certainly large UUVs as well.
The reason is time and capacity.
China already have the full SSK production and operational infrastructure in place. More importantly, its SSK production base is distinct from its SSN production, so simultaneous production has almost no direct opportunity cost as one more SSK-N doesn’t have to mean one less SSN.
Yes, it’s wasteful, but in war, overkill is infinitely preferable to defeat.
The PLAN can rapidly replace its existing SSKs with SSK-Ns and be able to spin those up into combat capable units far faster than it can spin up additional SSN boats. That’s not just in terms of production timescale, but also crew training and experience.
I view the SSK-N as similar to the leap from a J11 to J16. It’s a quantum leap in capabilities, but you can still use a lot of existing legacy support facilities and pilots don’t need to learn a totally new way of fighting. Whereas SSNs are more like 5th gens that gives you an entirely different class of capabilities. And just like how the PLAAF is dual procuring legacy and 5th gens, there is every chance the PLAN will do the same with SSK-Ns and SSNs.
Once you move past the mental block of thinking of them as competitors meant to fill the same role and undertake the same missions, and instead see them as complementary assets, things start to make a lot more sense.