It's - technically - a problem with TLS, not HTTPS. TLS requires the server to pick a key way before user sends first encrypted bytes (like a HTTP host header). It's not a problem when every HTTPS server has another IP, but that internet is gone. So if there are two domains with different TLS certificated hosted on a single IP:port, the webserver has to guess which key to use (usually one is the default).

To fix this, SNI extension to TLS was introduced. Now TLS client will optionally send a plaintext domain name it tries to connect to, and the webserver picks a key for that domain. Which is nice but... now the client is leaking their domain name. Encrypted hello in TLS finally fixes this problem.