Guitarists use non-standard tunings all the time. "Drop D" tuning is quite popular, for example (granted, Drop D changes the tuning of only one string of the guitar — but I'm sure there are other more elaborate tunings that some favor).
You lose some idiomatic guitar vocabulary, but if you don't care about that you gain the ability to construct your own chord voicings much more easily, and only need to remember one fingering for each chord instead of three.