It works, but it needs a bit of work. In particular, you need a router capable of redirecting all DNS call to the DNS you specify (Asus routers can do that, for instance). Moreover, one should also use a blocklist to forbid the connection to most common DoT/DoH public servers, such as
https://raw.githubusercontent.com/hagezi/dns-blocklists/main/adblock/doh-vpn-proxy-bypass.txt
tl;dr It can be done and it's relatively easy, but one has to learn how to do it and choose proper tools (HW and SW).
Well, yeah, though luck... Amazon (the store) is entirely banned from my house.