From the looks of it Boustrophedon texts should be more efficient to read. However, I can't find any modern day research regarding its effects and reasons why it would have fallen out of use in history (though I can hypothesize it has something to do with the difficulty of writing such texts. However in the modern day where computers are used for input this would make no difference anymore).
Presumably it's more difficult to learn to use boustrophedon: you have to learn to read and write in two directions, as well as learning two orientations for each letter. I don't see that it offers any particular benefit that would offset this extra difficulty.
Also, if you're writing in ink on a paper-like surface, a consistently left-to-right writing direction means you don't smudge what you've just written (assuming you're right-handed). So it seems plausible that expanding use of papyrus might have contributed to the desuetude of boustrophedon, too.
I find it possibly a contributing factor to it falling out of use due to other writing systems contortion on users and how they entrain psycology and physiology interactions to fall within those preset writing contortion parameters. Every writing system has its own contortions associated with direction. Boustrophedon also has a unique contortion. But having to learn two separate characters probably made it twice as hard in the long run as well.