In a different question I asked, Chris Johns' answer pinpointed exactly why all of the answers didn't satisfy me, so I'd like to ask a follow-up question which will further focus my question - would you consider bees moral?
All the answers in my first question were not about actual morality in my opinion, but of the group effort to stay alive. This isn't morality. Morality, to my opinion, is the goal-less (there's probably a better term) care for the other. It's not even selflessness (even though this is the closest one and the best answer so far), because even selflessness, in the evolutionary mindset, comes from the need to live, not from true selfless-needing.
For example, a parent will die for its child, in order to preserve its gene, and you might call it morality. But what I call morality is the soldier that jumps on a grenade in order to save his fellow soldier/s (or civilians, or even in the extreme case of saving soldiers from the enemy side). That solider doesn't sacrifice himself for the greater good, his genes aren't inferior to the other human being, so, in the evolution mind - he shouldn't (or better said - wouldn't) sacrifice himself. Doing so isn't evolutionary right.
Correct me if I'm wrong.