The radioisitope dating I can believe, and the C-14 dating.
But a building stone in the Kaabal - where did it start out, when was it cut, was it used in another structure first?
Weathering, without a complete history, not of the stucture, but of the stone, is nonsense.
Although I do recall one case where a monastary was dated by the wear on the front step ... average number of monks, four masses a day...
You then compare that surface to the weathered surface.
What I'm afraid has happened to virtually all the stones in the Kaaba is that they were repolished in more recent times.
BTW, if you think you can just haul a big old stone out of the Kaaba and cut it in two.......... you’d have to be the King of Araby to get away with it.