They did, yeah. I don't know if there's yet proof that they love me unconditionally, though, and I suppose now I'll never know for sure.

Come on then, even a big poncy Gryffindor like you must know you can't save someone who doesn't even want to save himself, or doesn't believe himself to be worthy or capable of being saved. You never gave up on him, which was the right thing to do, but it's pretty much all you could have done.