@AlmondMagnum While I do agree that they didn't establish the competition as really necessary, they did need the LP before they could cure her and I doubt, "Listen I can cure your daughter, I just need X number of prostitutes first!" would be a good argument, the reputation of the saint would be enough to justify getting the money they needed which the family would be more than willing to provide if they were competing with one another about who should sacrifice themselves in her place. That said, the MC basically already has two members of his harem that are actively competing for his affection and he explained how LP worked and why he needed it, if it was brought up that a striptease or something would work, those two girls would be kinda fighting one another to be the one to do it between their own desire to help, be useful, and for him to look at them over the other girl. May not exactly be the polite thing to ask of the girls, but asking them to instead publicly say they're in your harem and put on a show of it in a competition that is explicitly stated to be by bitter men for bitter men to insult pretty women, I think that maybe stepping a bit past their comfort lines for a guy who they do like to save someone's life is probably more reasonable...
@Robbini They had an incredibly famous saint with them and an incredibly famous skill that could do what was said (and the family had access to someone who could verify the skill stuff), asking for enough money to save her life first when these guys were competing with who should give up their own life (even if only theoretically) isn't an unreasonable request, or even if it
might not have worked, they knew the girl and her retainer so they could have at least
tried. Like if it wasn't that the LP seemed to be the bigger reason to enter the competition, it's completely unreasonable to not even
try asking the family. That said, I don't think the family would have been able to help with the LP front... Which is where the girls who are already competing with one another for MC's affection come in.