Climbing in rock shoes is definitely more fun than climbing in boots. However this route lends itself easily to boots. Rock is very blocky, with only a few low-5th sections, and there are many streches of sandy and/or grass covered ledges that might be more dangerous in rock shoes.
Whatever you do, go prepared for very exposed, steep hard snow. That section is the crux of the climb. Looked like it could be bypassed by filthy 5.8ish tower, but that's just a random conjecture.