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One thing I'm bit confused about is the relationship between oklab(/oklch) and different colorspaces; are srgb-oklab and p3-oklab different things? Or is oklab something that exists independent of srgb/p3/whatever? In web they seem bit intermixed in a confusing way. And does HDR add yet another dimension here is needed for "full" color specification.

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The best example I know of is the OkLCH color picker from Evil Martians (https://oklch.evilmartians.io), linked at the end of the article. It shows the gamuts of sRGB, p3 and rec2020. You need a screen capable of showing them to appreciate the difference (recent Apple devices are all p3 capable).

Any links on srgb-oklab or p3-oklab? I have never heard of either of them, and Google doesn't seem to know either.

Generally, OKLab is its own independent color space. It's not like HSV for example, which is just a transformation of sRGB.

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