Those points are only for the grapple hook. In the trailer they showed that what you can do is highlight climbable surfaces but otherwise it functions more like AC and Ghosts instead of needing white paint or yellow climbing points.
Ghosts of Tsushima is literally a more grounded game than Horizon based on the premise alone and it has way better climbing:
and no they weren't really going for a "more grounded approach" because this is literally Aloy in cutscenes:
Ideally things characters do in cutscenes as part of a montage showing off their various abilities should be replicated in game yea?
Like I this point I don't even get the point of defending the lackluster climbing system of the first game when they've clearly gone out of their way to address that criticism specifically, among like the human combat. Like to quote the developers:
"The climbing tools for the first Horizon were a little bit limited and restricted," admits de Jonge, "so we really just wanted to open that up and give players the freedom to climb anywhere they like in these open worlds."