I tuned my SR506 that way - BEADF#B, when I first got it. Yes, it makes intuitive sense to guitar players. But I soon found that guitar tuning was too guitar , even an octave and 1/2 lower, using Spanish tuning made it sound very much like a guitar - the voicings are the same, and I found that after playing just a few chords on the 6-string bass, I did not like the effect of that voicing. It's too familiar, and lent itself to truly "playing guitar on bass", which is not what I was after.
So yes, give it a go. I found I much preferred the 6-string in even 4ths, because this maintained what I associate with bass voicings - such as when playing Root + 10th chords - I find that voicing vital to my style, and like to be able to do it incorporating the high C string. And having all 4ths is also more fluid for me, running scales and just finding notes on the fly.
I still use a lot of guitar-specific technique on bass guitars, after all they are in one family, but in tuning, it's interesting how that Spanish guitar convention of the 3rd fundamentally changes the sound and approach.