I don't think I've used all these projector technologies.
Perhaps CRT one way back when I was at school?
But don't think I have used a LCoS one
I've a DLP one, and it's very good.
When I looked at DLP vs LED, I was reading about a downside of DLP being that it can suffer from 'rainbow' effect on the screen.
I've not noticed that at all with mine, I've used it for gaming, watching films and YT, and so far have only experienced excellent picture quality [other than the obvious when a YT is shot with a poor res camera so when blown up to 200" can look not perfect, but no fault of the projector technology I mean]