I have pings in excess of 300 ms to her site. TCP connections need a lot of time to "warm up" before speeds become acceptable. It's easy to say things like "http2 does not matter" when you're single digit milliseconds away from all major datacenters.
HTTP/2 matters on bloated websites with tons of external resources, it is not the case here. HTTP/2 will not get you the first HTML page faster and this is the only thing needed here to start showing you something.
In terms of round trips, HTTP/1.1 without TLS will do one less than HTTP/2 with TLS, and as much as HTTP/3 with TLS.
