It seems to me that the most accurate theory is the one that speaks of an evolution that is not linear (as shown in the famous image on the cover of your post) but rather an evolution in the form of a tree.
It would be an evolution where several species of hominids evolved independently of each other, until the most advanced managed to prosper and that is us. Other branches became extinct, as is the case of the Neanderthals.
I invite you to watch the following video that talks in more detail about this. Greetings @lupafilotaxia!