Some do, some don't....
F/O minimums,
Have worked for several companies (all heavy jets) and they all have restricted First Officers to 200'/550m (CAT I)....period.
No crosswind limits, or others that I can recall.
Have also trained many in the sim/aircraft, and if they can't cut the mustard there, they do not belong on the line.
How else will they learn if they don't fly (especially HAND fly) the aeroplane in adverse conditions? To overly restrict F/O's is bad policy, IMO.