Earlier quoted context omitted.
The start has happened, but it's happening unevenly with different users. Lots of TLS servers (in reverse proxies but also in backend apps and even Apache httpd[1]) are in memory safe languages. For example Go, while not totally memory safe, has shipped their Go-implemented crypto/tls library for a long time. (And also had some crypto correctness bugs - reminding us that memory safety is "necessary but not sufficient…
Well, Go isn't really a great language for safety either. Memory safety maybe yes, but not in general. Rust or Zig do much better here.
[1]: there can be memory safety issues in the presence of data races, but this has ever been proven exploitable, doesn't cause the compiler to completely miscompile and is very rare in practice, so it's not comparable to unsafe memory languages.