Is overhead work "special" for long term strength i.e. hypertrophy?

Hi! I did some searching for this, but it’s possible all the keywords are too common to net any past results. Sorry if I’m duplicating.

Beyond neutral adaptation, skill training, etc. to be good at overhead pressing, is there anything about overhead pressing that is particularly unique and/or advantageous to long term hypertrophy and/or increasing “general” strength compared to pressing movements that allow for more weight to be used?

I don’t understand the question. Which comparator movements are you referring to that “allow for more weight to be used”?

There is also no such thing as increasing “general” strength, as any given metric of strength necessarily involve some task specificity.