Right now the Pats run with Gronk, Edelman, Vereen, and LaFell as the top receivers. Any remaining snaps are split among Amendola, Wright, Tyms, and Dobson. For now, Dobson is out and we don't know why, but LaFell has won those snaps. Edelman is supposedly banged up too, but Amendola or Wright probably get any of those snaps. Not a lot left over.
So, Tyms is getting snaps as a decoy or deep threat only. He's kind of being used like Slater, eg one shot here and there.
The good news is, with that role, he only needs one catch to have a big game. The bad news is, he has only one catch all year. That drop was pretty egregious too.
Wouldn't mind if OP's gut is right. Kind of think Tyms needs to add to his repertoire, and to improve at his main role, to stick. Otherwise he has to beat out LaFell and Dobson for snaps, which I don't see happening.