I dunno man if you can't see how creativity and thinking are inextricably linked I don't know what to tell you

LLMs aren't good at either, imo. They are rote regurgitation machines, or at best they mildly remix the data they have in a way that might be useful

They don't actually have any intelligence or skills to be creative or logical though

They're linked but they're very different. Speaking from personal experience, It's a whole different task to solve an engineering problem that's been assigned to you where you need to break it down and reason your way to a solution, vs. coming up with something brand new like a song or a piece of art where there's no guidance. It's just a very different use of your brain.