I run a “one game a week” USCF rated tournament (for a whole month) that only contains USCF members.
Each week we do not pair the round until we know who is there, so that we don’t get byes (as TD I’m usually the “odd” player in to make up the numbers). Some weeks there are new players playing and others that had already played do not show etc. When I send in the rating reports, players could have played anywhere from 1 to 4 games (very few actually play all the rounds).
I know there are rating implications on players playing a specific number of rounds, but most of the players participating are unaware of this and are obviously happy to just participate whenever they can.
Usually, in terms of the tournaments that started this discussion, 9 times out of 10 they are not USCF members because they have just started playing and wish to sample the Club, which also means they would be unrated anyway and would have little affect on the ratings. I also feel a little guilty about charging them $36 to sample something that they might not want to be a part of in a couple of weeks, one reason I have a $5 “trial” membership to the Club I run that goes towards their club membership fees if they become “full” members.
Chris