A hat will get you looked at, investigated, and busted. It will not work in circumstances where hats are not allowed (but loud, drunk, rookie concert going crowds need not worry about this).
The mics get buried in fabric and circumstances that are truly unfriendly to audio, so you get that sound like it was recorded from a tissue box, or, from a bowl of mud (worse than schemps), or maybe the cheesy layer of a pocket cooked grilled cheese sandwich -- which is probably why Chris Church doesn't want his product to be placed in a hat - because it sounds like shit in there, and he cares about how his product sounds.
There are far better methods than a hat - but I'm not willing to discuss them publicly, and I'm not willing to discuss it by PM either.
Get out there and record. Try a technique, if it works, try it again. If it doesn't work, don't try it again.
There is nothing so crucial coming through a PA system that the world will end if it is not recorded to the finest degree, or a total failure, or not recorded at all.