They fixed the blinking while gear swapping thing a while back btw in XI... a looooooooooooooooooooot longer ago if you used Blinkmenot. But officially its fixed now with "Lock style".

Also, As a DD job, I never "Blinked so much I was invisible the entire time" in any event. Maybe on a mage job if you played it pretty hardcore, but melee only had really 3 sets... TP Phase, WS, and PDT/GotHate gear, and for most of XI's life span, there was a good long period between TP and WS swapping... not until around Abyssea did we get the influx of hastebuffs that got us getting TP almost quicker than we could spend it.

Unless your computer was crap and it just took you forever to load models or something, then maybe yah. Or during Besieged.