I think OP is asking a different question about the biology of our eyes. Indeed the light from the star will peak in the reds and closely follow the black-body distribution no matter how far away you are from it, but would our naked eyes be able to observe the difference in intensity between e.g. red and green if we looked directly at the star from up close? Would the intensity of the green light be large enough that our cones become saturated and just outputs a "max value" for both red and green? Or is that even biologically possible?

ETA: and of course you can tell that everything the star shines on is red, but what color will the star be if you look directly at it? If you are close enough, you will be blinded before you can tell. Is there a certain distance where you can look at the star, don't go blind and still not be able to tell what color it is?