From memory, BSC and Unified have the same 60 degree thread form. (Like several sizes of Cycle thread, British Standard Brass is 26 tpi but is Whitworh, 55 degree, thread form, so not interchangeable.)
So if both items have the same tpi, they should be interchangeable.
FRom memory, UNC will screw into a Whitworh tapping of the same pitch, but not the other way round.
(Our Chief Engineer would only countenance BSW or BSF, so often replacing fixings on UNC threaded items, we had to tap out to BSW. He used to insist that the UNF prop shaft bolts on new vehicles were replaced with BSF before being allowed to go into service!. Kuckiliy, he never knew that the fixings for the bell housing on the Bristol RE were a mixture of 3/8UNF and 3/8 BSF!)
Now back to the original thread!
Howard