I have a Bass VI reissue (with standard tuning - EADGBE) and an Alembic baritone tuned ADGCEA (I think!) - I play both of these somewhat like guitars (which I can also play somewhat), so for these instruments the standard guitar tuning makes the most sense. I tried tuning the Alembic baritone more like a modern 6-string bass (ADGCFA#?) but it really messed me up!
I also have a low-end Ibanez 6-string bass, tuned BEADGC, and since I play that more like a regular bass, the tuning in fifths across the board makes sense to me.
But - 1) I almost never use the low B, and 2) I love the high C, so I just acquired a five string bass that I am going to convert to EADGC. I don't think I would do EADGB - without the necessity for the high E I don't think it would be necessary, but who knows?