The bad thing about a modeller is that it always sounds too much like a synthesiser, to my ears. Maybe it works for some guitarists, to each his own...there's no such thing as 'better' or 'worse' in this case, as far as you can get the most out of your instrument with your own feeling/playing style.
The most important thing for me is to hear the acoustic purity of an instrument. I play Les Pauls because of the thick bluesy tone and solid playability together with a nice tube amp; it gives me a basis sound which I love so much (just like with acoustic guitars). From that point it all comes to your own fingers/attack/playing style/personality to make it sound how you want it to sound, preferably with only a few (2/3) pedals/effects.
A good electric guitar is like a good acoustic guitar, with all its purity and tone. I wouldn't hide that with a modeller or too many pedals/effects. Simplicity.
