We have 6 outs to a very strong hand, as well as 13 other cards that increase our equity in the pot. We are getting really good odds (140:380, ~22% equity needed) and folding the turn isn't a disaster because it will likely increase villain's barreling frequency. That is my line of thinking at least.
This seems like an easy spot. If he's always barrelling air+made hands we have really good implied odds. If he gives up with his air we just show down the best hand most of the time. Easy game at the 21s imo.