If anything, humans tend to be more prone to look for differences than assume equality.
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...