King Lear - a study in dementia?

Hi, this struck me a while ago after reading King Lear and particularly the storm scene where Lear seems to go mad. It seems to me as a casual reader, not a scholar, that this is a powerful rendering of an old man falling into total confusion due to dementia.

The play begins with a sentient though misguided king apparently with all his faculties, having carefully decided how to divide up his Kingdom. It then leads us through his gradual decline whilst being taken advantage of by his two daughters. Indeed, the scene in act 1 where he loses it with Cordelia because she does not profess sufficient love for him could be a subtle hint that he has already started down the dementia path.

I’ve never seen it played this way so wonder what others think of this interpretation.?