I guess the only argument for player safety is that the more plays that are run in a game, the more likely someone gets hurt. This is football. Play the darned game. There are both advantages and disadvantages to every style of play. If you run up tempo and you get stopped a few times, it can be crippling for your defense. Whatever. This rule is like saying to a basketball team that you can't fast break or full court press. Sorry, but it is thumbs down on this rule for me. Every team should decide its style of play and live or die with the results.
I saw another stat (cannot find it now) that showed the difference between the hurry up offenses and Bama....number of snaps per game, and the hurry up was only about 2 more.