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Web sites aren’t made for just you. If images from your screen are causing you issues, that is a you / your device problem, not a web site problem.

I agree, it's not a web site problem. It's a web standards problem that it's possible for web sites to do that.

Note the spec does recommend providing a user option: https://drafts.csswg.org/css-color-hdr-1/#a11y

You asked “which web browsers have a setting to tone map HDR images such that they look like SDR images?”; I answered. Were you not actually looking for a solution?

I was looking for a setting, not a hack.