Don’t know about that, as Conan started around the same time as TLS. It would be awfully strange to draw inspiration from a factionalized talk show from a sitcom that was on the at the same time as your own real talk show. And Gary was parodying cliches from actual talk shows, and the backstage environment. The fictional TLS didn’t really do much that set itself apart from traditional talk shows, and Conan’s show, while a bit edgy and crass compared to other contemporary shows, was still very much a traditional talk show format, so naturally there would be some similarities.