Sparky.. He is simply re-telling myths based on nothing. Why does he not shoot a 36" barrel if 2" or 4" make that much difference in pattern. I have a 30" and a 32" barrel on 2 of my trap guns, I actually do better with the 30". In fact, I hate to say it, but I shoot better with my 28" Berreta than my dedicated Trap guns. If there is an imoprovement in pattern, it would be so insignificent as not to matter. If he is still convinced, go out to the range and do some patterns. Mix up the papers so no one knows which gun shot which pattern and I bet he can't tell the difference, assuming of course you are both shooting the same choke. Choke is what determines the pattern, not length.. period. The only real positive with the longer barrels is that it puts some weight OUT THERE and helps with a smooth swing. You can do as well with a barrel weight, maybe better. Look at the barrel, it is thick at the breech and get smaller quite quickly,, the reason.. shotgun powders are consumed very quickly and no longer manufacture pressure. Longer barrels don't add much if any velocity to the load.
The bottom line is you aren't going to convince him as he is too deep into his beliefs, true or not. The best thing you can do is practice, practice and out shoot every time you can. Even with that done, he will most likely have some other reason why it happened. Been here before,, I am sure i will again