Yes, I think I can see the correlation. Almost like a bidding pool. Users would set their split, and that would determine the budget for relays, etc.
Users could also favorite certain relays they wanted to always carry their messages.
Discussion
Yes, new relays could enter the market by offering low fees to start with and then increase them as they build their reputation.
I love this idea.
You could also have an amboss style monitoring system for relays, giving stats for things like uptime, connectivity, fees etc which feeds into the suggestion algorithm.