That's certainly a problem but it's a problem that would impact society overall negatively. Therefore I think it would be reasonable to weaken the "loser pays"

That's certainly a problem but it's a problem that would impact society overall negatively. Therefore I think it would be reasonable to weaken the "loser pays" system slightly, so that a balance between actual punishment and financial penalty is reached that prevents the latter from becoming an incentive to plead guilty. This could simply be done by having the government pay in these cases.