I thought about it before and it would be kind of cool but it's depending in the stipulations. Would we be able to use a certain type? Would we get to choose that type? There are many different restrictions that would come up with that aspect.
It could be interesting if done well. I would question whether defeating all the challengers really fulfills your role though. A Gym Leader is supposed to test challengers, and not make victory impossible after all.
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There would have to be rules though or otherwise it's not much different from random trainer battles.
As in, you'd have to use all one type within certain levels and maybe even only your strongest Pokemon could be fully evolved, and you can't have a full team. Stuff like that, like the actual Gym Leaders.
It would be a pointless addition if you're a replacement Gym Leader for, say, the Water type Gym when you've got one Water type (or not even that) and 5 non-Water types. Just using the team of six that you've been cultivating isn't representing the Gym, it's just "hey I'm the guy that beat the Gym Leader."
Though only way I could see people wanting to do it is if you got to choose the type and people would battle you and if you won you got GP like from the World Tournament and Battle Subway. Or some other perk for doing it.
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