Ed, "T" stops report a lens' measured transmission, are used when getting exposure absolutely right is essential. Cine lenses are often, but not always, marked in "T" stops. I've never seen or heard of an LF lens marked in T stops, but this doesn't mean there are none, rather that if they exist they're not common.
f/stops are geometric, have nothing to do with transmission, and are used when calculating, e.g., depth of field. Effective f/numbers are f/numbers adjusted for magnification.
Remember that because of light lost to reflections, real lenses usually transmit less light than their geometric f/stop numbers indicate. Since the really lossy reflections occur at air-glass interfaces, this is one of the reasons that lens designers used to try to minimize the number of air-glass interfaces. Hence, e.g., the Aldis Uno, Dagor types, Protars, ...
If you're going to lay down the law, please follow long-established conventions.
Your empirical definition of f/stop is (a) unconventional and (b) nonsense. If you meant to say that the f/number is (diameter of the entrance pupil)/(focal length), you should have said so. You missed the point of my question about focal length. A lens can't form a sharp image if the lens rear nodal point is less than the lens' focal length from the film plane. Please revisit your definition with this inconvenient but true fact in mind.
Cheers,
Dan