I've been going for that "huge" snare sound for quite a while and, in doing so, have bought several deep snares:
Ludwig LM402 14x6.5
M4 Drum Co. Walnut Stave 14x8"
Keller Maple 14x8
Guess what? These are probably my three least favorite snares that I own.
I've found that I really don't like lots of overtones and overly ringy snares, and deep snares are a bitch to get rid of the ring, without completely choking the sound of the drum.
In a recording, my '65 Acrolite is actually the "fattest" sounding of all my snares, despite its small depth. As far as volume is concerned, I've never really noticed any snare being significantly louder than another, except my 13x6" Addiction Drum Design segmented oak snare - that thing is LOUD.