The value in having books you will never read

I saw another BookTuber assume that an antilibrary is the same thing as a "physical TBR," yet they serve essentially opposite purposes. And yet, when it comes to the books on my shelves they are a continuum that shade into each other. Only a minority of my unread books are truly a "physical TBR," and fewer still are the books that I own but intend on not reading.

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Level 1 – Physical TBR examples:
The Golden Bough (abridged) by James Fraser
The Master and his Emissary by Ian McGilchrist

Level 2 – Probably will read examples:
Games People Play by Eric Berne
The Gardener and the Carpenter by Allison Gopnik

Level 3 – May read examples:
Love Triangle by Matt Parker
Thinking Fast and Slow by Daniel Kahneman

Level 4 – Probably won't read examples:
The Essential Santayana
The Methods of Ethics by Henry Sidgwick

Level 5 – Don't plan on reading:
Undoing Gender by Judith Butler

Other books discussed:
The Black Swan by Nassim Nicholas Taleb
Antifragile by Nassim Nicholas Taleb

Other writers discussed:
Umberto Eco
John Gray