Never had any problems dealing with mechanics as monk and still coming out on top, cept for T9 where SMN beat me.
Dealing with GL is actually never a problem for any decent monk, granted you drop GL sometimes but only when you are really forced to do so and there is maybe 1-2 situations where you can't just Perfect balance it.
Well, I have encountered the issue way more than you have, and Perfect Balance is not up nearly often enough as needed to counter it.

I don't encounter it at all on NIN, which is likely a big part of why I do way better on it. Like I said, for MNK where a brief intercession in the fight would result in lost GL stacks, for a NIN it's just an opportunity to recast theirs.