For example, if pressed, about as much as you could get from an evo biologist is that what distinguishes difference between species is their inability to interbreed.
Humans probably could tell neanderthal were "different" but not in a way where they thought they were truly "other".
If anything, humans tend to be more prone to look for differences than assume equality.
Sure, it can be said that different "races" among humans make up a variety of subspecies. Yet, subspecies is not an objective reality. It is an example of where humans invent words to attempt to categorize and quantify things with fuzzy, unclear boundaries.
Why do we invent words like this? Because they're useful for enhancing knowledge and communication. When a word stops doing that, for example because of some immense contextual baggage connected to it, there's no point in forcing the matter, because we can just use different words and still get the same knowledge we seek otherwise.
Humans are illogical and emotionally complex. Denying that fact and chalking it up to political maneuvers is, ironically, itself an example of illogical emotional reaction.
Just use the term "ethnicity" so we can get on with science instead of wasting time trying to dig up old words for personal gratification.
The term doesn't apply to humans because through all history black people has been in contact with non-black people, and interbreeding without any trouble. Having a bit more melatonine in your skin doesn't make you a new subspecie.
But if your head size is huge (like Neanderthal), so huge that half your iterbreed newborns die or kill the mother, you are on the path of speciation but still the same specie because interbreeding is possible.
Note the humans and chimpanzees diverged like 5 million years ago. Neanderthal is very close to us and it's reclassified as it's own specie or as the same specie from time to time.
There is a nice graphic in https://en.wikipedia.org/wiki/Chimpanzee%E2%80%93human_last_... Neanderthal is not in the graphic, but if you want to add it, you should put in near the top left, between us and H. Erectus, probably closer to us.
I always recommend one of my favorite essays for this topic: “The categories were made for man, not man for the categories”
https://slatestarcodex.com/2014/11/21/the-categories-were-ma...