[Shujin]

I don't know, I don't think you should be able to gain air, while being rooted on the ground, but thats whatever. It just diudn't make sense for me for an Corbie to flap its wings to fly, while half frozen or tied up. Hayttrs had Extra Traits for it if I remember correctly?

Pierce Linker isn't moving you at all, but is labled a movement skill, therefore granting Mirage walk and stopped by Immobilize/Frozen. Its just a straight 3 line basic attack though.

Falcon strike on the other hand, does not grant you Mirage walk nor is it stopped by immobilized/frozen. Though thats one heck of an mobillity skill. I assume Dev simply mistook one for the other when applying the tag.

The argument about Jetwing has an issue, cause if the youkai is summoned, its still not stopped when the youkai is immobilized.
I also always figured the youkai are using the skills through you (therefore using your stats), other than you summoning them for one attack.