In the context of your question, the Alapin is better, by far. By playing 1...e6 Black says I will accept the difficulty of developing my LSB to obtain solidity in the center and complete safety on f7. The French exchange makes it too easy on Black to develop the LSB. By exchanging pawns, White does all the hard work for Black by making it easy to develop the LSB. It is hard to win the resulting position, but it's a lot easier to play and that is a good scenario for the second player after just 3 moves.
The Alapin costs a tempo, but White obtains the possibility of having a pawn duo on e4 & d4. A classic case of paying the price (tempo) to obtain something tangible (e4 & d4 center pawns) White has something to show for his efforts. In the exchange French he has nothing, zero to show for it.
Which is better?
The Alapin
or the
French Exchange
Give Reasons