Yes, this is the reason Meta keeps fighting Apple and Google when the app stores add marginal transparency.
I wonder how many people will even consider the possibility that they need to check those permissions carefully lest the social media app collect health data?
It’s similar on android. Most apps that use it legitimately relate to health or fitness. I suspect that your headphone example would apply to Pixel headphones, also.
Meta probably wants it mostly for advertising purposes. They aren’t exactly cautious when selling data, though, so who knows?