His first appearance on Letterman, especially the final 2 minutes, rocked me. It’s still one of the most talked about comedy routines ever, I hear comedians referencing it all the time. Joe Rogan recently, for example, was going on about its impact. Similar to the content of the clip you posted, but I think the big thing about the Letterman appearance is that we were all hearing it for the first time. I do think Kinison wore out his welcome though and his shtick got old after a couple of years.