Although I understand your point -- yes, I affiliate not only with red but with hard right red.
I remember a number of years ago when the "red" and "blue" American terms were just starting to be used. Now, there was no law or convention as to why either left or right should be called either color. I remember conservative commentators calling conservatives blue and liberals red.
But the libs in the MSM tenaciously used blue to describe themselves. Finally, out of sheer volume of usage, the convention was established: red America is conservative. Blue America is liberal.
And you know why, of course, that the libs didn't want "red" as their color? Because in the old days "red" meant communist (remember the old leftist mantra, "better red than dead"). They didn't want to risk having to live with a color too closely associated with their, ahem, real colors.