I thought that MC was the answer to BX and it's usage, thus the MC would have a bonding wire. Each individual type of conductor would have it's own connector!
While you can grandfather an existing circuit or service you can not use something that wasn't in existance for a new application! The circuit your providing for needs to meet what your Code is today.
Granted it might well be the same type fitting, an example of a simple over strap and two bolts, but you've touched it, or your going to and know now what to do. Install something that shines, JMHO...