As someone who uses Notion on the free plan, does Obsidian work better than Notion with local AI tools?

I am apparently someone who did not quite catch up to the AI lingo, so parts of the explanation are confusing to me (what is a "vault", why does this thing do stuff in a "loop", how is this more "agentic" than a cronjob).

Is my understanding correct that a normal LLM is stateless in the sense that when you talk to it today about frying pans, it does not remember that you spoke about fried rice yesterday? Is this solution effectively adding Markdown files as part of the prompt? Essentially writing into a file "whenever I talk about scripting, I explicitly mean the zsh"?

I would happily pay for anything like this for Logseq.