My dude: if the cat can't eat properly; it's time. You might get a few days or even weeks from babying him, and you're cherishing the time NOW, but in the future, you'll understand that you stretched out his life, extended whatever pain he's in for yourself. I know: we did the same thing with our newfie a few years ago. I regret it now, the extra weekend wasn't worth the pain and discomfort we caused her.
If this is just a speedbump on recovery: do keep it up. Try and heal your friend. But if this is just the way he is now... please don't torture him to get extra time. He'll suffer for a week for it, but you'll have that memory for a lifetime.