i happen to see thisThis is much less of a problem than it was a decade and a half ago. While the US was hiperventilating over North Korea getting nukes, China put the DF-31/A/AG, and DF-41 into service. These systems, unlike the old ones, can hit the entire Northern Hemisphere, and are way more survivable than the older silo based hypergolics which only had at best enough range to hit California. The total amount of deliverable warheads probably also increased quite a lot as older large unitary warheads were replaced with lots of smaller yield ones. The remaining question is what if China has to defend itself against a much larger US led block, and strike past modern air defenses, for this increasing the amount of warheads and delivery systems up to 10x is justifiable. Given the size of the modern Chinese economy and available technology it would also be much more affordable to do than like 30-40 years ago.
I agree with you on this point. Unless China can somehow counter the US's submarine fleet there is simply no chance of expecting to remain in control of the sea lanes in case of an attempt by the US to impose a naval blockade on China.
I think China needs more than just the Type 095 submarine. It also needs to vastly ramp up the construction of Type 055 cruisers. But this would imply a strategy where China is trying to be the world hegemon in place of the US which is not likely to happen soon.