The article isn't super-clear about what's happening and, for most purposes, just dumping stuff on the Wayback Machine is probably not that different from deleting it even if the bits are still "somewhere." A few years back I copied any of my CNET stuff I cared about to my own site and, in general, that's a strategy I've followed with a number of sites as I don't expect anything to continue to be hosted or at least be findable indefinitely.

I kinda wish there were some way to store every page I ever visit automatically and index it locally for easy search. Then when I want to look up e.g. the guy who had the popular liquid oxygen fire website back in the 90s it would be easy. But I also fear it would be used against me somehow too.

The things people can do with your browser history of just URLs makes me happy that the actual content on said pages are NOT stored locally.

Otherwise, there is the save page option in your browser if you do want to keep a local copy.

Someone posted this to HN a few days ago

https://linkwarden.app/

It looks very appealing, but I haven’t had a chance to try it myself just yet.

You can pay for pinboard.in and it does something along the lines of what you're looking for.