Just watching the tank for a while you can see feeding behavior, if you've got enough zoas in the tank. Like Reef Bass talked about.
Another proof is that when you put the food in their mouth they close and when they open, there is nothing in the center of the polyp.
When I feed them I try to turn off all the pumps, so I can make sure that I'm not just seeing a recoiling or a reaction against the object (food particle).
Do we need more proof? Well, they actually poop too.
That "blinking" is indeed a natural feeding behavior. I notice that in my system once in a while. We can't see the micro food particles, most of the time. They are like dust in the water. Some times they eat, and some times they reject those micro particles.
Also, they grab some of the Spectrum pellets by accident when I feed my fishes and eat them. We cant' miss that. They close for a while and open, and the pellet is gone.
Yes, I'm sure they eat and probably love to do so.
They also absorb dissolved nutrients.
They are slower eaters.
One more thing: they don't eat people, but we call some of them people eaters for fun.
Grandis.