My altruism has become more authentic since moving on from Christianity. When I am unselfish, it is because my true nature is allowed to act rather than my ego.
Your question reminds me of when I purchased a van from an individual many years ago. Within two days, it had mechanical issues costing a few hundred dollars. He had told me it was without problems but sold it 'as is' so had no legal obligation to do anything towards it.
I called just to talk with him about it, and he offered to cover the repairs. Within a week, more serious issues came to light. Again I called, really just to get some background information as it baffled the mechanics. Again he offered to cover the cost of repairs.
I had to ask him, "Why are you doing this? Is it because of your religion?"
He laughed and said, "I am a simple man and have no religion. I do this because of golf."
It was a set-up, of course, and I bit. "Golf?" I asked, quite puzzled and curious.
"Yes," he answered, "you see, when I play, if I have anything on my conscience my game is down. I offer to pay for the repairs so I can play a better game."
No, it would not count as altruistic, but the story has some insight. And I agree that altruism is not altruism if there is benefit to the one who acts. Something like love - is it love or is it wanting something from another person? Good questions to ponder.