I think food is mostly fun until they're not consuming as much milk. That could be up to 3, depending on the child. I think their instinctual reactions to food are appropriate to their needs and personality type. My oldest daughter wasn't much into food until she was 2. Seriously. She was chubby until she was around 1.5 when she started running around all the time and got skinny.
My youngest daughter was into food much earlier, but she has gone through many phases of going in and out of interest. I think there is nothing to worry about, if the babies health is fine, nothing to worry about. Relax, mama. Breathe in, breathe out.