I think the word "photography" needs to be spelled out somewhere on the hat, and "analog photography" would be even better. Then, someone might ask, "What is APUG, and what does it have to do with photography? And what the heck is analog photography?"
Otherwise, APUG is just some meaningless acronym for who-cares-what. One man's opinion...
BTW, I would pay an amount over and above what you probably have in mind for a really nice cap!