Client TLS is rather unusable on the Internet by a typical random end user visiting a random public site, so that should at least keep the specific scenario you describe at bay.

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ranger_danger 2 hours ago | parent [-]

Currently yes, but there's not much stopping Chrome etc. from adding a new feature that has a way of presenting a client certificate to a website in a backwards-compatible manner.

Of course the website itself would need to support that, but it's all possible in time.

	▲	altairprime 2 hours ago \| parent [-]
		Chrome would be more likely to implement a persistent and identifiable (to Google alone) tracking cookie replacement and ship it worldwide, which iirc they did — and then cancelled, of course. They seem to be focusing instead on improved tracking of Android users from the kernel up, rather than browsers from the headers down; GrapheneOS is, presumably, viewed as a serious threat to their advertising revenue. https://privacysandbox.google.com/blog/update-on-plans-for-p...