I've seen exceptions made to sdc to a redeye that left a few minutes after midnight the day of departure, but never to what your asking (which is switching to a flight the day before).
You *might* be able to talk them into it "it's within 1 hr of being same day and lands same day as original departure", but this would definitely be an exception and should not be expected. Change fee + fare difference is correct for what you're asking for (to leave the day before).