There is a virtue and cool sound with some lower tension which I hear every time I change strings as I'm tuning to pitch for the first time, but a whole 4th is a bit too floppy. (If you make it work, then bravo, good for you.) It's part of the reason the Chapman stick sounds so rich, long strings loose enough to be tapped not plucked.
Usually I play a 5st in normal BEADG tuning 45-130.
Coincidentally I've been buying for a few of my 4s super heavy gage (I'd never use in standard pitch) with the intension of going down one step. So far I have done it on a late 90s Ibanez RB400 (a stingray like neck and PUs J neck / M bridge) that always had Great fundamental low end. Putting it in DGCF 55-110 steel sounds freeking Great and I don't know why I didn't do it years ago! (The low D is fanastic) That's the note I play the most on a regular B string; I've often played with a guitarist who tunes to D which is why I got into 5s. Next in sight is a Jack Casady I'm tired of fighting with and I'll use nickels on that. I might try it on a Jackson-backer Concert thingie that's super bright with good lows too. I'll keep the Squire paranormal short scale in standard, it sounds too good to mess with and I'm just doing this with 34" scale... although the Reverend Dub King might work one step down...