According to TD Half of the "endings" won't even feature Edwin "at the club" for the ending (ie Edwin trying to leave the club and the complications around that) we don't know if that's during or after the 4th exhibition. I'd argue that a lot more "complications" arise if he wants to leave before it ends.
From the patrons (of the clubs) side would you want to gamble on a "game" where someone can go "ooooooh all that money you bet? It's invalid hehe try again next year~" not to mention that 99% of the clubs patrons dont want to be "taken advantage" of in that way (the one guy Dalia bullies wouldn't mind
) they want the usual power over people type deal which Kathleen who is already unfairly judged for being a women flagrantly changing the rules to "fuck them over" is pretty much opposed to what they want since the patrons try to hit on her/disparage her every single exhibition.
I'm sure the people we don't see at the exhibitions but that we know are still gambling on it would also be in the "wtf is this bitch stealing my money for" camp as well
Then you have to consider one third of the owners would be directly against it (august) and Chuck would probably be indifferent at best it doesn't make sense for Kathleen to even be thinking about it unless she starts speeding up plans for the future (replacing August/Chuck with Hana/Edwin for just for example
As for the girls going to law enforcement? Yeah the club has the moorehead PD tied up pretty well but the FBI? (Human trafficking?) I'm pretty sure the reason that they aren't involved is because TD doesn't find the "FBI OPEN UP" meme to be hot.....
they could easily and logically be involved in some endings though
Veronica might "lose hope in her fellow humans" if she learned that samson engineered the last year of her life (including having people she admires/cares about lie and manipulate her), on top of losing her only livelihood (and place to live)
Felicia's "life" or at least way of life could be at risk right now even if she is kept as a caged bird why would her husband (who has the power) let her do jack shit after he knows she's been part of the club? Potentially not even just having sex but also having having legitimate emotional connections and going on "dates" with Edwin (who he knows from the interview)
So 2/3 girls are already in a position where you can easily argue they won't be able to continue their life anyway and we still have an entire week+exhibition to go.....I can see rationally taking a backseat for a second while they rat out kathleen
Edit: FWIW according to Kathleen the patrons dont get to participate that much in the event because that would mess with the results