Yes, the MX-700 files will work for the MX-800 and the MX-850. Once you get into the MX-900 and 950, you have to import the mxf files into their program much like you can with Pronto CCF files, but you can still make use of the files.
"TNR" is an abbreviation for "Tuner" - sort of a short-form way of identifying the processor or receiver.