NOT REALLY..
BECAUSE PUBLISHING ONLY GOES TO WRITERS .. IF YOURE BASICALLY JUST BEING USED AS AN INSTRUMENT.. THATS WORK FOR HIRE.
THE MUSIC INDUSTRY GETS A BAD REPUTATION FROM DIRTY EXECS WHO DONT PROPERLY HAND OUT PUBLISHING TO THE ACTUAL WRITERS OF THE MUSIC/LYRICS.
If thats the case the producer would do it him/herself with the DAW.
Whoever is the "hired instrument" as you put it was the one who wrote and performed on the track.
They deserve a credit; just say you're a cheap and greedy and keep it real.