So, as far as I can tell, after reading this thread, there is absolutely no consensus whatsoever....Yeah?...No?...
I have limited experience, as all my many bass drums, 18's, 20's, and 22's, have been 14" deep. Except my Yamaha Stage Custom 20", which is 17" deep.
The main thing I notice about the 17" deep kick: it is indeed more of a hassle move around. Takes up more space in storage, in the car, going through doors, on top of the trap case, requires a bigger bag or case, etc. Feel wise, no difference. Sound wise, not enough to matter.
Although I did love the sound of my 22x18 Birch Absolute and the 22x18 Recordign Custom and 20x18 PHX kicks I did promo’s on, the 22x16 is the perfect balance between the feel you get back when playing a kick and sound at front of house.
I own both 14's and 18's. I find the shell thickness and makeup to alter the sound the most. I DO like my Rogers 14x22 a LOT though! Under a mic they are all very similar. I have an 18x20 9 ply Eames and that is one loud drum but it is also bright, which I like sometimes. In my book it isn't all about depth of tone. Its about the whole set sounding balanced within itself. My 18x22 is only an 1/8" thick and that drum does have a lot of bottom end and is very responsive.