I think what's important here is to reduce harm even if it's still a little annoying. Because if you try to completely ban mentioning something is LLM written you'll just have people doing it without a disclaimer...
Yes, comments of this nature are bad, annoying, and should be downvoted as they have minimal original thought, take minimal effort, and are often directly inaccurate. I'd still rather they have a disclaimer to make it easier to identify them!
Further, entire articles submitted to HN are clearly written by a LLM yet get over a hundred upvotes before people notice whether there's a disclaimer or not. These do not get caught quickly, and someone clicking on the link will likely generate ad revenue that incentives people to continue doing it.
LLM comments without a disclaimer should be avoided, and submitted articles written by a LLM should be flagged ASAP to avoid abuse since by the time someone clicks the link it's too late.