Yes, I think CAP scoring would be important for your son for multiple reasons:
1) His arousal index was 10, which is exactly the average amount of arousals someone his age should have. Assuming this is correct, he would have little if any RERAs. That being said, there are some people who have naturally very low arousal indices, but that's less common.
2) He had a large amount of periodic limb movements, 28/hr, though they were not associated with arousals. In the comments of the PSG it said that many of the PLMS were preceded by "episodes of shallow breathing" (flow limitations). This is a clue that they're related to CAP, as flow limitations can induce PLMS that include a CAP A phase change.
PLMS is tightly related to CAP:
https://pubmed.ncbi.nlm.nih.gov/8858493/
With all that noted, the technician did note in the comments that the EEG signal was poor and that results should be viewed with caution, so it could be that the arousal index is way off. It would have been nice if they'd scored the flow limitation index instead of just leaving it blank...
I personally think it would be a good idea to request CAP analysis. For a case as tricky as his I think it would be important to apply the best diagnostic tools available, especially if he's going to be getting another study anyway. It is not a particularly burdensome task, there is software that does it automatically.