I don't think there is anything wrong with cold food. Unfortunately my sweet child refuses to eat anyting that is cold :) So, I suppose it would be ok for his formula to come straight from the fridge.
My son won't drink his milk unless it is ice cold and he does not have any problems. If your baby can eat with no problem than let him have it.
Isabelle acts like I'm trying to drown her in poison when I try to give her formula cold but she doesn't mind room tempature. I asked the doctor if it was okay that I wasn't warming things and she said absoultely. It's up to the baby. She said to try cold, room temp or warm and see what she likes. (that's how I found out she thinks you're trying to kill her if you give it to her cold). I don't think there's a problem at all. :)