In response to the original question, I'll share my experience. I think we all buy into the marketing and advertising in this sport. I struggled a bit with chokes, I think you may be going through the same thing. My answer to your question is no, 5-7 hits is marginal at best, under controlled conditions(rest or steady concentrated shot)that is basically as good as you will get. Real life shotgun scenarios rarely play out as static or concentrated.
I started out with a Carlsons choke, buying in to the hype, tried #4buck and hornady BB, never anything really eye-opening. As the distance increased it seemed to donut-hole pattern. I missed one coyote out at 40yds, really disappointed, that did it for me. At that point I accepted there was a problem, either find another choke or shoot closer.
I switched to a standard Remington predator choke, that changed everything. My patterns were dramatic, my confidence went up and my setups changed because of it.
I think chokes are a bit finicky, they don't seem universal in every gun. Try to recognize the problem and fix it, if you have the ability to try other chokes, do so, it is very likely the best avenue to better patterns.