At the risk of being argumentative... that really depends a whole lot on how you define "better", no?
First of all, it doesn't necessarily hold that "If you read a book, you'll write a song like everyone the author likes." Even if you are truly starting from square one and have absolutely no original ideas of your own, following the guidelines of someone's How To Write Songs book will only point you in a certain direction, it won't completely dictate every aspect of your song...because it can't. Not unless it isn't a How To Write Songs book but rather a How To Write This Song book.
And secondly, if the choice is between reading a book such as, oh, say Paul Hindemith's The Craft Of Musical Composition or Reginald Smith Brindle's Musical Composition -- y'know, books by experienced and qualified educators who understand how to present potential materials without dictating exactly what note follows what note, so that the intrepid neophyte can craft music that reflects their influences -- versus "copy[ing] every song you like...put[ing] the pieces together your way" isn't it more likely that the latter method will result in music that sounds just like everyone you like...and only like that? How is that "better"?