Are you nitpicking? You can point to aperture stop theory and the history of the f-numbers etc. indefinitely, but ƒ is and will remain synonymous with light transmission (or "T" as you keenly insist; thank you, I am familiar with it) in every single practical situation of photography, no matter how much you try to balance the needle on its tip.
hackermom, I mean this with earnest sincerity - so please take it in that nature; In fifteen years of photography, photography classes, photography magazines, and photography books - I have never, ever, had anyone suggest that ƒ is synonymous with light transmission.
It is possible, that I, and every photographer, photography magazine, photography book, photography instructor, technical reference, manufacturer, and Wiki-Page, has been using the term incorrectly all this time - but could you stop for a second and possibly consider that perhaps you might be the one using it somewhat differently than everyone else?
At the very least - look at a camera, and note that when you set the "F-Stop" to, or read it to be, say, F/3.5, it does precisely the same thing to the camera if you are in a completely pitch-dark room or outside on a very sunny day.
That alone should suggest that F-Stop is not a measure of light, but instead of something else, and, perhaps also consider that it is, as I have suggested numerous times on this thread, the ratio of the focal length to aperture diameter.