Querying DNS can be expensive, so it makes sense to build a cache to avoid querying again when you don't need to, but typical APIs for name resolution such as gethostbyname / getaddrinfo don't return the TTL, so people just assume forever is a good TTL. Especially for a persistant (http) connection, it kind of makes sense to never query DNS again while you already have a working connection that you made with that name, and if it's TLS, it's quite possible that you don't check if the certificate has expired while you're connected or if you do a session resumption.
But innocent things like this add up to make operating services tricky. Many times, if you start refusing connections, clients figure it out, but sometimes the caches still don't get cleared.