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> I don't think proxy servers

Proxies with MITM (mostly corporate) would see everything, because they are terminating client SSL/TLS.

MITM will see everything, but this should be the case with headers as well as GET params, passwords/tokens/data etc.

In case there is no MITIM but the original link was written using the plain HTTP then the proxy would see it anyway, before upgrading to SSL CONNECT.