To be honest, when i talk about production rate, i talk about it for the domestic customer. So production rate for US, and production rate for China. Of course that any other buyer will increase the production rate. You pay for it, we build it, it's pretty simple. (it takes time to ramp it up, of course) Which is why F35 for all buyers combined will go over 160 planes per year soon. But that's also gonna be something like 15 billion dollars worth of orders per year. Buyers of chinese planes are much less numerous. If china produced 100 combat planes per year it'd be an order book for perhaps 4-5 billion dollars.
PLAAF doesn't need so many planes per year, it would seem. Or if it does need them, it doesn't say, and with the money available, it certainly doesn't show. One would first need to ramp up training of new pilots if plaaf would add, say, 10 more regiments. It takes less time to contract and build a plane from scratch than to train a new pilot.
It really remains to be seen how many F35 will US be buying at its peak. With funding it had up to now, previous plans of some 130 planes per year (all variants for US) are not really doable. But maybe under Trump the funding will increase. Impossible to know. IF more superhornets (TX or other kind) are ordered, that will be to the detriment of F35 production though. So far the official plan is still that no more growlers/superhornets will be ordered for US, the production has already ramped down quite a bit and last growlers/superhornets will be delivered to US within 2 or so years. IF no more are ordered.
Also, when one talks about Chinese production, there are also parts of JF17 to consider, as well as various trainers. Chinese plane makers really do churn out A LOT of planes per year, and even when US starts buying more F35s they will be closer to US levels than to any other country in the world.