The harm LLMs do in this case is attested both by that NYT article and the more rigorous study from Stanford. There are two problems with your argument as I see it: 1. You're assuming "LLM therapy" is less harmful than "no therapy", an assumption I don't believe has been demonstrated. 2. You're not taking into account the long term harm of putting in place a solution that's "not fit for human use" as in the housing and food examples: once these things become accepted, they form the baseline of the new accepted "minimum standard of living", bringing that standard down for everyone.
You claim to be making a utilitarian as opposed to a nonmaleficent argument, but, for the reasons I've stated here, I don't believe it's a utilitarian argument at all.