I am somewhat neutral on her, when she was introduced I kind of felt she was a gender swapped bones to setup the bones / spock dynamic but with data.
Sadly the only thing I remember her for is being mean to data, getting rapidly aged, and replacing Picard’s heart, that is 3 out of 22 episodes she is credited in.
For me Crusher vs Pulaski somewhat comes down to bedside manner/ compassion. Pulaski just comes across as a bit blunt and prickly at times and Pulaski just has fewer memorable episodes due to only having the one season.
I suspect that since the borg needed such detailed info on picards body and they altered starfleet transporters that it only would work on “known” species in the federation databases.
Ultimately the assimilated just needed to out number and overwhelm the older old un effected backed up by complete computer ship control of all federation vessels. The plan never needed total assimilation.
SO my answer is that they would probably be immune.