Here's my take:

I have been racing the velodrome for 2 years and a roadie/racer for 10+ years. For the first time this season, I took my track bike to the road. I was a little freaked out by riding on the road fixed, so the first time I did it was with 2 brakes and a freewheel. Did my weekly 20 mi road route in SS mode. It was ok, but no big deal. Funny thing was, my brakes weren't adjusted great and I actually wanted to backpedal a few times to assist with stopping. I felt like I was at a loss for control. So go to ride number 2: I adjusted the brakes, flipped the hub and road fixed on the same route. I had a better sense of control. There is also this weird consciousness that you must have as you are approaching corners and stop signs, etc. You have to put thought into what you are doing and how you are riding. I think this is what they mean by becoming more one with the bike. It really was enjoyable. Since then, I really like having the fixed bike as an option. Not seeing a need to go back to freewheel mode and a single front brake is adequate.