I played several different 4 bangers tuned BEAD for years and still have one that way. I much prefer the neck of a 4 string in my hands, and I really like the extended low range. It was great for the band I was in for 6+ years.
It surely took some specific setup and light, cheap, and easy mods; nut, bridge, setup, and I used a neck shim to get the action the way I like with one bass.
What I discovered very quickly when I went BEAD was that with some basses the B was just terrible and floppier then a *I don't know what* and took some serious EQ/effects to make it marginally acceptable to me.
Classic things that make a B string tight make a big difference as to what bass you set up this way IMO. I gigged a Fender P (57 reissue) setup BEAD and the B was terrible.

I have since re-set that P to EADG and am much happier with it.
The best results I've gotten with a 4 banger BEAD setup was a '77 Gibson G3. Amazing B string. Tighter then some B's I've experienced on 5 string basses. I attribute this to the larger neck break angle, string through body, and 34.5 inch scale. It's a Gibson bass so say what you will about it, but I think it's a great one to set up BEAD. It has a dry and thick piano like tone IMHO and recorded really well for me. On stage it would fill the room with thick fundamental.
I digress... I hope this was helpful or informative in any way
Cheers and have fun with it. You can always spend a few bucks (unless you are skilled enough and confident enough to work on your own basses...then it's virtually free minus parts!) and put it back to EADG if it doesn't work out with a particular bass.