I was thinking the same thing a couple years ago. I gotta ask some questions to help us think. One of the issues is the length of arrow you are flinging. No matter how shallow or deep the quiver is, you still need to raise that arrow past the lip, wherever that is positioned.
In other words, if the lip is at the level of your shoulder, you need to raise up the entire length of the arrow plus broadhead to clear it, no matter how deep or shallow the pouch is. I believe the arrow length to be carried matters most.
If you actually draw a full length arrow, I am guessing that your back and chest will mostly allow you to draw a longer arrow out of the quiver. If a shorter draw, well you will be rightly sized for that arrow. One help is to not wear it way high so that the lip of the quiver is by your ear. Narrow quivers will be tougher to draw from, especially with a broadhead.
And....If the pouch is only 10" deep and the arrow is full length, plus a nice long broadhead, your arrow is gonna stick up in the air 23 +/- inches above the quiver, which is gonna catch on everything as you move.
I increased the depth of mine over store bought by about 2" and although not perfect, I will not go back to shorter depths. As stated above, the longest feathers need to not touch the quiver.
At least, I think so. Guess I didn't ask any questions but made some statements, sorry.