for me it's kind of like doing exercises with weights strapped on. when you plug in you find it's so much easier to play than when you were playing acoustically trying to hear yourself. but you also hear muting and noise mistakes.
right now i have an iridium and run it through monitors, but at a low/music listening volume (i live in an apartment, though my neighbor is a violinist and practices every day in the morning, and that's definitely louder than i am). i can hear both the electric and acoustic sound, so it's kind of best of both worlds. but i tend not to practice with fuzz/distortion, unless i'm practicing something that requires fuzz/distortion and needs that lighter/legato-y touch to execute perfectly.