The whole point of YouTube is watching your subscriptions or recommendations based on your previous history. What is your use case if you don't even want to be logged into it?
Subscriptions less and less. I can think of two that I regularly watch, and even those I'll just binge their most recent 2-3 every couple of months.
For me it's Ctrl/CMD+L "y [thing I'm searching for]" Enter.
I've dabbled with tools like PinchFlat to archive/stream via Jellyfin but there's niggles I haven't tackled.
The whole point of YouTube is watching your subscriptions or recommendations based on your previous history. What is your use case if you don't even want to be logged into it?