Some concerns:
1. Lack of nuclear doctrine
Chinese official nuclear doctrine didn't change much between 1960s and 2020s. Come on, they are pretending business still as usual while approaching parity with US/RU in early 2030s. It is not nuclear posture works and they should change it.
2. Lack of survivable NC3
For example, airborne nuclear command is essential to flexibility and credibility of nuclear deterrence, I see no such plane yet. You can't rely on ground-based radio station in a nuclear war. And they should upgrade their strategic comms satellites soon.
3. No show of strength
Can you believe that PLARF never shows a real DF-41 apart from 2019 parade. Yeah it is what happens right now. Nuclear deterrence is to show your adversary that they have to take unacceptable loss in a nuclear war therefore you have to show they how. PLARF is hiding every advanced missiles from spotlight and roll outs old DF-11, DF-15 every time. Jesus, can someone imagine that PLAAF release J-7G and J-8F only all day long in 2024
4. No nationwide exercise
PLARF operates at a rather local stance compared to NATO/Russia who has annual nuclear exercise to practice coordinated strike/counter-strike. Meanwhile PLARF exercise is all about "I am the fastest kid in launching" or "mom I live in a tunnel for 3 weeks long" and I am not even kidding, anti-fatigue exercise in a tunnel is an essential part of their training.
In case if someone is asking "how do you know have all these stuffs, what if they have but don't show us." They should, it is their job to showcase their readiness to achieve deterrence.
I agree with most of these points. But I will play devils' advocate.
1. China's nuclear doctrine did change. Afterall, SAC writings in the 2000s pointed out that some missiles/warheads should be kept "in reserve" and there should be a selected target set for nuclear strikes. What that implies is that China is at least open to the idea of escalation control.
2. This is a big problem. However, a fail-deadly system may be implemented to mitigate part of the issue. For example, ground-based communications systems (telephones/optic cables) that link underground command centers and silos can be programed to send a "I am fine" message regularly. If the launch units fail to receive any messages for X amount of time, the launch crew will be alerted and a strike can be launched.
3. Show of strength is important. However, since the US clearly knows that DF-41s exist and can be used to strike CONUS, it does not really matter if you are showing real DF-41s to Biden or parading mockups on TV. As long as the US is certain that China is willing and able to launch nuclear strikes against itself in certain cases, the US will be deterred. You can argue that the punishment inflicted by X number of warheads will not be sufficient to deter the US effectively, but that is another discussion entirely.
4. China's nuclear thinking is very different that US and Russia. China believes that a delayed retaliation will just be as effective as an immediate retaliation. The idea is that the PLA will have to dig warheads and missiles out from tunnels and silos destroyed in the enemy attack. This explains why there are endurance exercises.