Pillagers have no hood texture, unlike other illagers.
Linked issues
Attachments
Comments 6

Confirmed for 1.16.5 and 21w03a.

Can confirm in 1.17.1.

With MC-116911 being resolved as WF, I'd suggest to turn this report into the opposite as it currently is: witch, vindicator and evoker having one being the issue instead (as the hoods are deliberately not in the model rendering, them being in the texture should be a valid issue)

intended, Pillagers are not supposed to have hoods.

I assume the fixing of this simply removes the hood texture from all illagers which had it?
I'm pretty sure that the bug here is that evokers and vindicators have a hood texture in the first place.