Current Code allows pvc in unincorporated Cook County, IL
Not exactly sure when, but the code does not allow this substandard pipe in SFRs.
So, yes, in your situation this would be allowed.
Just remember, the only "long term" advantage of pvc is that the smooth interior lessens
the likelihood of any material sticking to the pipe walls, provided the pipe is properly installed.
You really should follow the manufacturers recommendations and ream both the inside / outside
diameters and not over-glue, nor under-glue.
The main point is this: since it is very likely the pipe will be rodded at some time, there is the
increased chance of the pipe being rodded through. Even if this isn't the case, the smooth interior
now becomes a very rough interior which is much more likely to catch hair and fats, oils, grease and
anything else that finds its way into the pipe.
That said, you really should post signs for the roto-rooter types which would probably dismiss
such conditions as problems. It would be best to jet-rod, especially this section of pipe so as
to avoid any future problems for yourself, or any prospective new owners. Make sure to use the
correct couplings for tying the two materials together ! ! !
Best of luck