While I am by no means an expert...I really don't think there's any wrong way to train. IMHO, all forms of strength training have their benefits..
Splits allow me to focus fully on each body part a little bit more than a total body workout would, whereas hitting the entire body would basically mean less time spent weight training, leaving me more time for cardio.
IMHO, the more we can vary it up, the better.
HTH