When traveling back and forth to Oahu.. have had layovers in Phil, Newark, Denver, LAX, Seattle..including multiple trips overseas..Us virgin, Caymans, Cozumel..etc..have not had an issue with TSA..
Was nice when I could pack my stuff in a "Rough-neck" Bin..slap scuba stickers all over it..have it hand carried..(too big to throw) and know nothing would be missing..
Have always hand carried my Regulator.. it is my lifeline..
Once (30) years ago..security had an issue with my Regulator...they kept it in front w/ the pilot..made no sense.. to me.
Funny, how folks pretend you are invisible..when you look different.
and Yes, I have worn my BPW set as well..
Just once, a little old lady asked me if I was wearing a "jump" jacket..said yes and waited for lighting to strike me on the spot.
So in answer to the question..yes I wear my "jump jacket" thru airports and stow it in the over head, just like those folks that wear coats..