Not one bit, it wouldn't even bother me that no one remembered me after 1 second. The thing is, when I'm dead I'm dead, and nothing that happens after will ever matter to me beyond that point. Everything that I do is to be entertained while I'm alive, stuff to get through the duration without going crazy.
Edit: All this stuff on Earth, family, friends, societies are all about survival. That's it, without all that life would be a bit pointless and chaotic, and our species wouldn't have survived well.