I'm pretty 100% certain that Physical blue spells do not have any stacking resist rate but I don't know it for Magical ones. For some inspection, I killed Niddy as BLU/WHM, nuked him 27 times - resulted below.
Nidhogg takes 700 points of damage. Full
Nidhogg takes 496 points of damage. Full
Nidhogg takes 248 points of damage. Half
Nidhogg takes 600 points of damage. Full
Nidhogg takes 496 points of damage. Full
Nidhogg takes 703 points of damage. Full
Nidhogg takes 122 points of damage. Quarter
Nidhogg takes 496 points of damage. Full
Nidhogg takes 700 points of damage. Full
Nidhogg takes 496 points of damage. Full
Nidhogg takes 489 points of damage. Full
Nidhogg takes 350 points of damage. Half
Nidhogg takes 496 points of damage. Full
Nidhogg takes 70 points of damage. One-Eight
Nidhogg takes 216 points of damage. Half
Nidhogg takes 893 points of damage. Full
Nidhogg takes 59 points of damage. One-Eight
Nidhogg takes 700 points of damage. Full
Nidhogg takes 56 points of damage. One-Eight
Nidhogg takes 700 points of damage. Full
Nidhogg takes 496 points of damage. Full
Nidhogg takes 61 points of damage. One-Eight
Nidhogg takes 693 points of damage. Full
Nidhogg takes 123 points of damage. Quarter
Nidhogg takes 70 points of damage. One-Eight
Nidhogg takes 198 points of damage. Quarter
Nidhogg takes 70 points of damage. One-Eight
I'm not sure that this is the result of ONLY Mind Blast's stacking resistance or the system took Thunder IV, III, Burst II nuke into calculation as well. Because early on, BLM didn't nuke much since the fighters were called for on hold, letting PLDs generated a good amount of enmity first. However the last 15 minutes, there were a lot of SC-MBs and nukes by 3-4 BLMs and 1-2 RDMs. You'll see that my nukes were resisted quite often.
This data may not be fully reliable becuase I didn't capture Lightning Threnody and Suiton effect.