So that's interesting, and I've never heard it stated that the 11th is typically higher. In fact, one page I read, or lesson I saw on youtube, the takeaway was that above 8 the scale wraps around and so 11 is literally exactly the same as 4, but just a different type of vocabulary. I guess you get what you pay for!
Anyway, given that the idea is to avoid clashing of 2 notes a semitone apart(which I totally get), here's where I think a 4 in a bassline may work in any place an 11th might work: Generally, notes on the bass are going to be an octave(or more) below the guitar. So there should be little chance of a G2 clashing w/ the F#3 of a D major on the guitar. Right?
Keyboards, pianos or some other large range instrument would be different... luckily my band doesn't have one of those...