Having done a teensy amount of nonprofessional theatre myself (back when I was in school), I know what you and he mean. It's also like the difference between a band performing live and filming a music video.

My point was purely from a practical standpoint: this iteration of LLL would suffer more than the Hamlet would, methinks.

I suspect that what would be the most likely way to see Hamlet or LLL onscreen would be if one or both were brought to the United States and they were filmed straight up on stage by PBS for Great Performances.