Yes!! It did for me, but I didn't have c ribs...that may or may not help for you.

Depends on how large your c ribs are and if the PT can work the top ribs without irritating the c rib.
A good one should be able to do that.

Rib mobilization was a huge improvement in my case.
I had severe spasms in the neck, upper chest, upper back muscles, my chiro resolved those after 6-8 sessions ( used ultra sound, low level laser, IF stim, and hands on TrP /nucca work plus adjustments as needed and upper cervical (c1/c2) adjustments).

With the spasms gone I still had very limited use of hands/arms until I found a adv PT guy (taught PT also) that tried a rib mob just to check and voila both sides dropped 1/2 inch visibly - the semi choking /tight neck sensations went away instantly and when I drove home (40 min drive) I didn't have to keep changing hands.
I also was able to go out and move some large rocks near my pond. Before the rib mob/drop when doing something intense like that I would be messed up for days after.

Mine did try to pop up again a few times , but chiro was aware after I told him what the PT guy did, so he always checked them , and by then I could feel when they were not right.