While this is a cool idea in theory, it would probably not work super well in practice due to the myriad reasons provided by other posters.

There is really no reason not to include a personal parser at the very least, however. In a game that often employs DPS checks in many fights, it is beneficial to know where you stand, and parsing your numbers can also help you strive to optimize your rotation, etc. Arguments against including something that tracks just your own damage seem woefully uninformed if not willfully ignorant.

To say that you shouldn't care about your DPS in XIV is simply asinine.