do relationships affect how much money you get like patron donor ect
if you are asking whether you donating via patreon does give you ingame benefits, the answer is no.
If you are asking whether "patron" customers give different money, I do not think so.
The names are just to give credit to the patrons, and their class (Miner, Berserker, etc) is to indicate what kind of weapon they want, but they all give money based on the items you use and your speed and stats -
* investing skill points in Charisma will get more money
* using fancy grips will get more money
* using bigger heads where possible (pole arm can have large heads! one hand hammer can have large hammer head!)