a shorter term limit will term out qualified, great representatives with real expertise

This assumes that representing people requires skills, experience, and expertise that can not be obtained elsewhere and can not be provided by advisers. If representing constituents interests did require specific skills, there would be pre-requisite courses. We don’t elect people to design and build nuclear reactors - we select them based on their skills. There are certainly skills involved in being a career politician, but these aren’t necessarily serving the public interest. I often feel like a politician’s main job is convincing constituents that their preferred course of action is best, rather than simply representing constituents interests.

a shorter term limit may intensify corruption if a rep or senator only has so much time to cash in and line up that fat consulting gig

This doesn’t make much sense to me. As in, we need to keep shitty politicians around for longer to kind of water down and spread out the shittiness over a greater period of time lest it be intensified.