Note that although it is not documented, when you query the Google DNS-over-HTTPS service from Chrome, it will usually use QUIC. You can check this at chrome://net-internals/#quic, and will probably see something like this (look DNS/HTTPS/QUIC/UDP/IPv6!):

dns.google.com:443 true QUIC_VERSION_34 [2607:f8b0:400d:c03::8a]:443 10544469510527000173 0 None 2 9 0 9 true

An independent implementation of QUIC (are there any outside of browsers?) would probably work much the same, modulo any changes during the ongoing standardization of QUIC.