google ran alphazero on a supercomputer a few years back and analyzed the opening in extreme depth, then published the results. It concluded e4 and d4 were the two best first moves objectively - not too surprising but also not that meaningful or important. If I remember correctly I think it didn't have a preference between e4 vs. d4.
As for alekhines defense - it's definitely not the most objectively sound response to e4. Personally I prefer the nimzowitsch sicilian to the alekhines, but I'd rather just play a normal sicilian.
The way to analyze the opening is not via some purely abstract, theoretical statement like "this move controls 2 squares, one near the king, the other near the queen, blah blah blah". Talk about the actual positions that the opening will reach, that's alot more interesting.
I believe the Reti Opening/Alekhine Defense (Nf3/Nf6) are the best first move for white and black respectively, for the following reasons:
Stockfish also prefers Nf3 on very high depth (several hours of analysis).
I will update this post if I find more information.