Within epsilon yes it does because the signer chooses the signature expiration and it's no more than 7 days.

If you don't like this you should also take issue with Cache-Control.

You, the website operator, opt in to signed exchanges and define exactly what resources are valid for how long. If you're okay with the browser caching pages there really should be no reason to be weirded out by any 3rd party caching them too.