HN is full of noobs loudly proclaiming what they don't know is true these days. Ubiquitous HTTPS does not change the nature of private browser caches, and only nullify the proxy related cache headers if the origin encrypts traffic all the way to the client, which is quite rare in real life, unless we are merely talking about a dude serving this blog from his basement computer.

In general, your answer depends on where the TLS cert terminates. In most situation a CDN or a reverse proxy is involved, and the TLC cert you use to encrypt traffic from the origin to the proxy is different from the one the proxy uses to encrypt traffic from it to the browser. Whenever a MITM intermediary is involved, you should read the intermediary's documentation. These usually include Cloudflare, AWS Cloudfront, Akamai etc. With with exceptions, like the Vary header as pointed out elsewhere, these vendors largely follow HTTP caching semantics for proxy caches.