> It would also prevent anyone accumulating years of political experience before assuming office, though, which seems like a serious drawback.
Yes, that's a drawback, but it has an upside. It would prevent any representative from having been a politician for years, so they'd be there to represent the people, not to further their political careers.
If you look at Washington as a whole, it seems rather clear to me that the long-serving politicians are more focused on continuing to get elected than they are on actually representing their people.