HTTPS is more deeply insecure than just the CA infrastructure sucking.
It requires you to keep the signing keys _online_, on a publicly accessable well know webserver, where they're maximally vulnerable to compromise. Practically any website of scale is run out of some colo, most of which have fairly poor plant security. Because of DOS attacks (I'd estimate) 3/4 of large Bitcoin sites have handed their SSL keys over to cloudflare... etc.
Back to the CA infrastructure: Many CAs will issue a certificate to anyone who can place a file on a URL of the the domain in question of the CA's choosing. They fetch this file over HTTP, so anyone who can MITM a websever can get a certificate issued for the price of a few bucks and a few hours delay. The system is not just weak to state level attackers.
It's stronger than nothing at all, but there is a good argument that its a false sense of security, and as a result I've been torn about if it would be good or not... Though in this case, the services we're using simply don't support it. (I've advocated it though: Even if user's overall security were ultimately decreased by using it, it shifts the spectrum of compromises to ones where the public will blame the victim (or the CA infrastructure) rather than "bitcoin", which reduces the ecosystem risk...)
There there is a question of what you'd even be authenticating against. AFAIK, Bitcoin.org isn't formally controlled by any of active developers (I believe the domain is under Sirus' control). I mean, if you're just going to trust _any_ HTTPS site to obtain the data from, I'll drop my pgp key at the bottom of this message, and you can use the fact that you got my key from the forum to verify the keys in question.
(Theymos, why doesn't the forum profile stuff have a field for pgp keys?)
-----BEGIN PGP PUBLIC KEY BLOCK-----
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