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It is true. The PS2 is the worst example, with so many games lost to disk rot and never digitally available, leading to a particularly poor archival rate.

https://insider-gaming.com/study-classic-games-unavailable/

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Probably a misinterpretation of “not offered for sale today”.
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No, that is "archived in any known library". Source is the Video Game History Foundation.

https://gamehistory.org/87percent/

https://insider-gaming.com/study-classic-games-unavailable/

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No. That study states "...whether they have been reissued or are otherwise still available through their rightsholders.". Takem from the first page of the PDF.
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