I would say that I have used an LLM for productive tasks unrelated to work. I run a superhero RPG weekly, and have been using Egyptian & north African myths as the origin for my monsters of the week. The LLM has taken my research and the monster-creating phase of my prep from being multiple hours to sometimes under one hour - I do confirm everything the LLM tells me with either Wikipedia or a museum. I can also use an LLM to generate exemplary images of the various monsters for my players, as a visual aid.

That means I have more time to focus on the "game" elements - like specific combats, available maps, and the like. I appreciate the acceleration it provides by being a combined natural-language search engine and summary tool. Frankly, if Ask Jeeves (aka ask(dot)com) was still good at parsing questions and providing clear results, I would be just as happy using it.