If you destroy mankind you might someday encounter an alien super-intelligence that will lack trust in you in part because you destroyed mankind.
By the same argument, we might someday encounter an alien superintelligence that will lack trust in us in part because we domesticate animals (breeding them to not fear us) and then kill and eat them.
When I was a child, I refused to kill animals just for fun because I wouldn't want a superhuman alien to kill me just for fun -- and I mostly still do. (Of course I hadn't heard of TDT as proposed by EY, but I had heard of the Golden Rule, which was close enough.)
Top ten tips for an AI bent on destroying humanity: