Sorry this feels like it should be obvious but I'm researching the best method to archive links mostly for personal use and potentially sending articles to my e-reader via Pocket which requires a URL.
I use a combo of OneNote (it's pretty easy to put entire pages in OneNote, even from a mobile device) and Joplin. Obsidian works well too.
What's nice is all of them can take the full page, so it looks nearly identical to the website.
Alternatively you can use reader mode in the browser, and send that to OneNote/Joplin, or send the link to http://archive.ph and save the archived version.
Saving the full page enables search to work.
Edit: forgot about your pocket url issue. Well both Joplin and OneNote save the url with the page info. Not sure how well Pocket utilizes pages archived on archive.ph. May need some testing.
Wow I really like everyone's answers here but actually getting off of pocket with my Kobo Reader didn't seem like an easy path until this info. Thanks!
Omnivore.app is probably the best replacement for Pocket that I've found at the moment, it's open source and has excellent Logseq and Obsidian plugins that allow you to download the articles to your devices.
From there it depends on what kind of reader you're using and software you have on it. Probably the most straightforward would be to use Calibre to convert the markdown file generated by either the Logseq or Obsidian plugins to an epub and add it to your library like a book. KOreader can read markdown files natively if you have it on your device, but you'd have to use a third party sync service to get it on there as there's no plugin for omnivore. It does have a wallabag plugin and a cloud storage plugin (only Dropbox, FTP, and WebDAV are supported) but I haven't tested those.
So, on my (Android) ereader, I use einkbro which is a browser that will save pages to epub, then can be used and organized with most reader software. You can also combine multiple web pages as chapters to the same book pretty trivially.
I don't have a suggestion that perfectly fits your question as asked, but figured I'd suggest it anyways because it serves a relatively similar goal for me.