For me the extra width is definately more comfortable and the S6 is even wider than 1 3/4" you mention in your post. It's quite amazing how it feels when picked up. Roomy is the best way to describe it.

However, now that I have several months of practice in I only occasionally buzz strings even on my Yamaha Pacifica which is one of the narrowest I have seen. That guitar is 41mm at the nut.

So I think what this illustrates is that regular practice is the key. Your fingers will find where they need to be to make clean notes.