Eh, I dunno about that. If I, say, flip over a chicken thigh and eat the kidney that's nestled on the back side (which can be found there depending on butchering method), seeing that organ inevitably makes me think of where it was, and what its function was, in the living creature.
Without having done the butchering myself -- I've seen my meal walking around a couple hours before eating it, and thought about the living animal while I was eating its dead body. That's not really a thought that's "pushed down". I seriously doubt the farmers I'm eating with, who actually are killing the animal and taking it apart, have any difficulty at all with the facts of what they're doing. (Of course, on the other end, people who work in commercial-scale meat processing plants do sometimes have issues with it, but that's a very different environment.)
There is an argument that we should feel disgusted, that there should be a flinching away or buried horror to eating meat, but should does not always result in is or does.