Just checked Jetrel and Jetrel actually made them believe that a) Neelix was dying from metremia and b) he might be able to synthesize an antibody with the help of Voyager's transporter technology, which may have sounded less far-fetched than the experiment he actually wanted to do. That makes it sound less frivolous of Janeway to decide to go there, but still, it's committing substantial resources.
Wanting to save a member of their crew is something the majority would agree on though, Maquis and Starfleet.
Still, I'd think that the Federation quickly replacing the Defiant is far more plausible than VOY finding friendly aliens that are willing to either give them another ship or fix their ship (what would the VOY crew have to offer those aliens in return?) But perhaps it could have been done if VOY sacrificed itself for those aliens, who now feel indebted to help them on their way again. Or some such thing.
How about something as utterly contrived as Star Trek Beyond, where the Enterprise was destroyed but they found an old Starfleet ship on the planet to get away in?
Or NuBSG, where they get a bigger stronger better Battlestar but it gets destroyed for idiotic reasons very fast so that Galactica can be the only Battlestar again?
Or Farscape, where Moya is badly damaged and burned but they just happen to have enough energy to get her to the only Doctor that could 100% fix her and they just happened to rob a bank so they just happen to have enough money to pay for treatment?
Compared to that, running into some Q stand-in who fixes the ship is hardly any different.