I have always found the sizing of Tee nuts and slots rather confusing and can see why the subject in this thread is getting slightly complicated.
Whilst there may be DIN or other standards for slots and nuts, there are a lot of machine manufacturers who seem to make them to whatever dimensions they feel like, that fact in combination with the variety and age range of machines in home workshops means that one can only really be sure of the nut-in-slot fit by trial and error.
I have made an assortment of nuts of different lengths, number of holes and the thread sizes. Mill is smallish with slots 11mm wide so I have metric and imperial ranging from M10 to 1/4" UNF with few M4 and M3. 99% of the time I use M6 as I have lots of different length M6 capheads.
I have never quite understood the logic of the various methods of preventing a bolt or stud touching the bottom of the slot. Allegedly it to prevent the slot ears being broken off, as I see it the same damage would be the same whether the nut was being pushed from below or pulled upwards from above.
As an aside, most of the nuts I make now have the top faces 'undercut' so that the pressure that the nut applies to the slot ears is concentrated at the widest part of the slot. My logic being that the pressure is being applied to the shortest 'lever' possible. The lever in this case being the cantilever that is the ear.
Ian P