That is absolutely the case in Utah, public lands are included in CWMUs and IME there was no consultation with the BLM office in doing so. The state has the authority to set hunt unit boundaries, which a CWMU is by definition, as they see fit. When I brought this up with some of the folks there, they compare it to the setting up of limited entry or once in a lifetime hunt unit boundaries. However, like CO, non-residents cannot draw CWMU permits for bucks/bulls, but can for antlerless. Don't know about COs system, but in Utah a CWMU is set up by species. So a CWMU may be set up for deer, but not pronghorn. If that is the case it is legal, if access is possible, to hunt pronghorn but not deer on public lands in that CWMU.Oh, and I have been told by Utah guys, that the same rule applies for CWMUs, the same concept as RFW in CO. I never looked deep enough into the Utah system to verify, but would not be surprised, given who is the promoter of such ideas in Utah.
To be truely fair, the one CWMU I am most familar with on this issue included 16K acres of BLM that is checkerboarded from the original railroad grant. Most of the BLM sections in this CWMU do not have legal access as corner hopping is, IIRC, illegal in Utah.