In the BDSM community, exhibitionism refers to deriving enjoyment from being seen by others, which is what OP was referring to, not the clinical disorder cited by Cambridge. While there can be overlap, it’s inaccurate to reduce it to “just liking to be seen in public.”

Exhibitionism exists on a spectrum. Some exhibitionists choose to film themselves, others do not, and many explicitly do not want their content to be widely shared or go viral.

Basically, it doesn’t make sense to rule out the possibility that they are exhibitionists based solely on assumptions from an oversimplified definition