Hmm...have you ever heard a 26x14? Tune it up slightly and it has both low end shudder and incredible punch. And it gets louder than a 22, I can tell you that.I’m not convinced all the way to 14”. 20” would be a maybe, but to me bigger than 22” starts trading punch for boom without too much gained volume.
Playing indoors or at smaller outdoor settings, I've never miked my bass drum and a 22x14 can keep up just fine, as long as you don't expect audience members to feel it in their chest.