That may be true, but don't confuse "continuous duty" rating with used continuously. The OCPD needs to be 25% larger than the continuous load 210.20 / 215.3. As you know, Chapter 4 minimums do not override Chapter 2 requirements, only supplement or modify them.
The sections you mention are for overcurrent protection, 430 does modify this for motors and actually permits short circuit and ground fault protection to be much higher than 125% in some cases.
The 125% of largest plus all others is for minimum conductor ampacity and does not matter what the fuse or breaker size is going to be at that point.
If motor is not continuous load then 100% full load current is used. If multiple motors and some are continuous and some are not then 125% of highest rated continuous is used plus 100% of all others.
Chapter 4 minimums do not override Chapter 2 requirements, only supplement or modify them.
I don't agree with this
210.2 Other Articles for Specific-Purpose Branch Circuits.
Branch circuits shall comply with this article and also with the applicable provisions of other articles of this Code. The provisions for branch circuits supplying equipment listed in Table 210.2
amend or supplement the provisions in this article and shall apply to branch circuits referred to therein.
How can you meet both chapter 2 requirements and chapter 4 permissions for a circuit breaker supplying a motor circuit? That is the reason the chapter 4 permissions are there because the chapter 2 requirements create an unacceptable performance condition for this particular circuit. They could just put exceptions in chapter 2 for everything that is already covered in chapter 4 and kind of have the same requirements on many things but isn't it better to just say 'we have a motor here, we need to go to art 430 and see what is different from the otherwise general rules'?