I don’t even pop the pit out as a separate step. After cutting in half, I just squish out the green stuff AND the pit into the bowl. Then I fish out the pit(s) and nibble off the green stuff before tossing them into the compost bag.
I used to do the hedgehog method, but it just seems like too much work. Unless you really want square green stuff.
I think the squish method results in better texture.