It is possible to restore playlists; they may also be found on archive.org and Common Crawl. But I hadn’t considered how necessary that would be. Regarding this specific case - unfortunately, neither Wayback nor Common Crawl has a single snapshot of the URL youtube.com/playlist?list=PL1RY5RYlgymo2ooWvReUmkwCCcGv0l_gF for the full list of 116 tracks.
Yes, the database contains all the videos, both deleted and active ones. Or rather, not the videos themselves, but the metadata and links to the video files in the web archive. I don't have servers large enough to store the videos themselves.
Search engine for YouTube content that's no longer on YouTube:
deleted, removed, region-blocked, DMCA'd. ~1.5B videos indexed from 2005
onwards by aggregating archive sources Internet Archive Wayback Machine
(CDX + HEAD-spread discovery), Common Crawl.
What you get for any video ID: metadata (title, description, channel,
upload date, duration, view counts, tags), thumbnails, original captions
when the archive captured them, and reconstructed URLs to play the
archived video file when available. Channel discovery reconciles legacy
username/handle eras to a single canonical identity (lots of channels
renamed themselves a dozen times — that part was painful).
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