I did the breast crawl and I would disagree that you miss out on the first snuggles.

I placed Oliver on my chest and held him in my arms whilst my Hubby stroked his hair. I gazed into his eyes for what felt like an eternity and he gazed back. It took about half an hour for him wiggle up and to attach. They don't have to be left there with no contact, in fact it is the opposite. It is a truely beautiful experience. I have some photos and my doula took some video and the snuggly feelings are tangible.

I would have felt rushed if a middy had shoved my nipple in his mouth. It was the most beautiful, calming experience. It gives you and bub a chance to exhale and relax a bit after the birth. I would definately do it again and highly recommend it if circumstances permit.

ETA: I held him for 2 hours in total before anyone else, even his daddy got a cuddle. He wasn't weighed and measured until about 2 1/2 hours after birth. I found this bonding time so very important.