That all may be relatively true, but those are still rather critical parts of the missile's flight path and very important for the AShBM role which technically have yet to be demonstrated in a confirmed and/or reliable way (just playing devil's advocate here).
Of course, those are both things that will be difficult to prove and demonstrate unless the chinese military wanted to deliberately show off, and I myself believe also that midcourse correction and terminal course correction to hit a moving target should be quite achievable.
It's just that those are also things which haven't been shown yet (and which we may never get to see), so I think we can't be too blase about the "capacity" needed for an AShBM to work, if we are looking for solid evidence.
I am less interested in convincing doubters who prefer not to be convinced then trying to assess the most accurate likely capabilities of the PLA.
The point is the PLA doesn't have to show or prove anything to us. It is up to us to try and piece together as much as possible from what they do show us.
One can be pedantic and insist on all sorts of tests results that the PLA will be almost certain to never release, but in my experience such people tend to never be satisfied. As soon as you satisfy one set of their needlessly pedantic requirements, they quickly dream up newer, even harder to satisfy requirements.
Short of China fighting and winning in a war, there will always be those who just refuse to believe China could do it.
Hell, even if China fought a war and won, they will probably come back a week later and claim it was all a fluke.