Hey Groucho, I really do not think any one is giving up hope for Homer, it is just knowing his track record right now he is not even close to being ready to take any action to help him self, this is why so many are blowing him off.
It says in the BB that if a man is not ready to help others who may be ready. When Homer is ready to take some sort of actions to help him self we will all be there, but right now there are people on this site that are willing to take some sort of action and those are the ones we should be helping, so far the only actions Homer has taken is sit on his pity pot. Hopefully he is serious about going to his doctor and starting to do something, we will see.