Actually hard to imagine any writing context where LLMs are better suited to the task, since cover letters and resumes have been fodder for automated screening tools for over a decade now. If you deviate too much from the norm, a human won’t ever see your materials
Basically if companies didn’t want to be in a position where every cover letter sounds like Claude, they shouldn’t have offloaded their own recruitment tasks to the bots in the first place lol. Can’t put the genie back in the bottle now