The "race" of Numernarians was not used in the same sense as when it was used for elves, dwarves, and Men/human…
…But when "race" is being used to describe Aragorn in comparison to elves and dwarves, he belongs to the race of Men. In this sense, there isn't a race of Numernarians.
In your opinion; you don't seem to have much evidence that backs up your claim.
The race of Men was called Edain by the elves
However, the Silmarillion states
Now Atani, the Second People, was the name given to Men in Valinor in the lore that told of their coming; but in the speech of Beleriand that name became Edain, and it was there used only of the three kindreds of the Elf-friends.
If there is a place where it is used of the whole race of men please show me where that is.
In any case, the Numenorians seem a different race from the humans to me. They are taller, stronger, much more long-lived, healthier, and are in all things more like unto the Eldar than the humans.
Something interesting I found in letters, number 153
Elves and Men are evidently in biological terms one race...
So maybe we're thinking about this wrong?