I do some local image generation now and then (mostly using Photoshop). Are you happy now? My only point was that any CPU/GPU-intensive applications I run (and really most local applications) I do on my newish computer. But most stuff I run is in a browser.
The relatively little LLM use I do is in a browser and it doesn't matter which computer I'm doing it on.
This makes me call into question literally everything else in your post.
You might be able to do CPU based for a few trials for fun, but you arent running LLMs on CPU on a daily basis.