For example this video shows MNK rotation with proof of its effectiveness (parse numbers): https://youtu.be/KCu5I37GVMY?t=31s

You should be able to notice the difference between him queueing his abilities (= not using macros, so each ability happens immediately after the previous one has ended). Anyone can post a video of themselves doing a rotation, but without seeing parse numbers (or at least a SSS dummy or something), it's hard to estimate its effectiveness (and there's no point in making claims about that one way or another, since you have no proof and you really don't even know it yourself). It's been known for years now that macros cause DPS loss for DDs. Perhaps you're not familiar with how they work in this game, but please believe all the people telling you just that in this thread (or just try it yourself on a SSS dummy or with a parser in game).