What regular home workload are you thinking of that the computer I described is incapable of?
You can call a computer a calculator, but that doesn’t make it a calculator.
Can they run SOTA LLMs? No. Can they run smaller, yet still capable LLMs? Yes.
However, I don’t think that the ability to run SOTA LLMs is a reasonable expectation for “a computer in every home” just a few years into that software category even existing.