Axis high action low E at first fret

I have a 2006 Axis. I just had it set up but the low E action is a hair too high. I was told it would be too much work to try to lower that string. I took it to another guitar shop and he agreed it was just a hair too high but not worth trying to lower that string because the treble strings were where they should be. Truss rod and saddles are set fine and plays fine…I wish I could get the E to be a little lower. Is it common for action to be high at nut with Floyd Rose type tremolos. The luthier seemed negative regarding steel nuts. How’s the action on your guitars at first fret? I was pretty much told to just deal with it. 😪