403b or 457 for our situation

I (45m) have around 600k in my 401k. My wife (36F) has nothing saved on her own, but is eligible for both 403b and 457 through her job as a public school teacher (she also has a pension from her district).

Which makes more sense for to enroll in? (I know she could in theory enroll in both). I understand the basic difference being that you can't get loans from a 457, but can from a 403b, but that you don't pay an early withdrawal fee from a 457 but do from a 403b.

Other than the types of funds available to invest in, and what I said above, is there any reason to go one over the other?