> What man would need to track the 28-days cycle of the moon?!? [..]

I'm a man and I actually track the moon cycles. I go skiing in the mountains during winter. If it's a full moon, or nearly so, I can plan on starting in the evening. With snow it's easy to ski in moonlight. If it's the wrong phase I can't plan on starting in the evening (typically Friday, for a weekend trip), I have to wait until the next day. There are other activities here which requires moonlight as well. It's important. Where it's snow, moonlight makes all the difference. I always kept track of the moon, especially when I was in my late teens and went somewhere hiking or skiing every weekend.

I can easily imagine how super important moonlight would be for neolithic people, for all kind of activities, hunting and more.