UPS has most recently required overwater experience due to the rapid expansion in ANC (rumot is the FAA thought it was a good idea).
It wasn't part of the current window, though.
That said, I would think overwater time will always be a trump card from here on out. I would think it will get you noticed. I have a friend at Mesa who is a Dash Capt with the 1000 TPIC looking to get noticed at UPS. I suggest Kallita.