I said basically the same thing as you. This is not just my opinion but from experience. No matter what over any period of time it will not change the outcome, the better player will ultimately win. In certain situations though it can make a very big difference.
I was staking a champion player giving a guy 11 to 6 in one pocket. The first night they played on the front table a tough Diamond with small pockets. It was a war and at the end of the night we were stuck a few games.
The next night the front table was being used and they played on another table. It was a Diamond with standard factory pockets. Not buckets by any means but not overly shimmed either. This was not a secret plan to switch tables it just happened. "WOW", what a difference, my player began to rob the guy, it looked like he needed 15 to 3 after a while. The difference was, with such a big spot my man needed to be able to run balls. He could not afford trading balls with the guy with such a big spot.
The bigger pockets I am sure helped the weaker player a bit in pocketing balls as well but not to the degree it helped the champion. It turned him into a ball running machine. He reads this forum by the way, I am sure he will recognize this story and may chime in.
I should also mention, this pocket size thing applies to 9 ball as well. If I am playing 9 ball giving a lot of weight I want to be on a slightly easier table. The first thought is, "Wait, wouldn't a tougher table make the weaker player miss more balls"? The answer is yes, but he miss balls all over the place anyway no matter what the pocket size, thats why he's getting the 6&7 ball. The bigger pockets may help the weaker a bit but they turn me into a world beater. Add to that, once you start pounding the guy he plays even worse. His lose become exponential as he goes down the drain.