I think it falls more into the category of needing consent like a crypto miner would. If I use a piece of software to do X and it begins using more resources to do Y that can be a serious issue and is at the heart of this discussion.
You sure about that? How explicit is the invocation? assuming it’s only run when the user does something (big assumption), does the user know clicking that summarize button is going to bog their system down and crank up their electricity use?
Button 1: "Stop the AI now to save X GB of RAM".
Button 2: "Erase all browser AI to save X GB of RAM and Y GB of disk"
This isn't asking for consent, it's simply informing the user about what oversized resources are optional and providing an honest way to save them.
The only alternative to that is formal consent.