My understanding is that the policies at Fair Oaks and Fairfax are very similar. My Csection was at Fairfax, and I thought it was a very positive experience. They support rooming in (my DD roomed in 100% after our C), have a large lactation center on-site, do breastfeeding classes in the hospital for newly delivered moms, etc. My DD had a big "breastfed only" sign on her layette and the nurses were NOT shy the couple times she was in the nursery to bring her to me to feed her.
What I HAVE heard is that since Fair Oaks is a smaller hospital, it is warmer and friendlier. Also, they have a much larger percentage of private rooms which is nice. Fairfax delivers 3 times the number of babies that Fair Oaks does, so they are quite the "baby factory".
I am curious, were you able to nurse your baby in the OR at Fair Oaks? I would like to be able to do that in the event of another Csection. I did not at Fairfax, but I was having low oxygen levels and was pretty woozy.