Had the same problem. Solved it (dry and clean, of course), by advancing the film on to the reel in very small increments. Try about one or two inches at a time at most. I found that advances more than this led to stoppage or bunching up, but short advance, even though it takes a little more time, gave less grief in the end.
I can't say I have ever had trouble with Patterson reels with either 35mm or 120/220. I have certainly never had one damage a film. As everyone says, they have to be dry, clean and sound, but otherwise they just load. I guess one man's meat, etc. I find it easier to pull the film on at first, rather than trying to push it, I don't know if that helps.