David, THANK YOU! You have restored my faith in humanity. This has been a pet peeve of mine for years.
I once sat on an ISA panel titled, "Measuring Mass Flow - Direct vs. Inferential". I was representing DP,which was classified as "Inferential". Thermal mass and Coriolis were classified as "Direct". Newsflash - Every flow meter, mass or volumetric, is inferential as you so eloquently explained in your post. Thermal mass INFERS mass flow through delta T and the Coriolis infers mass flow with the Coriolis effect (vibrating tube).
The only true direct mass flow method is to weigh it vs. time(which is actually done at some gravimetric flow labs (opposed to them master meter method).
Needless to say, I wasn't too popular on the panel when I questioned its subject title before we even started on the technologies.
Again, thank you.
John