nope. no DNS service, not even a self-hosted one, can mitigate what's happening here.

the matter at-hand considers Android (and iOS both) operating system- and kernel-level insecurities by-design. the operating system (together with all root-level or otherwise authorized system activity), under certain conditions—e.g. connectivity change, hard-coded system function, apps with permission to hardcode their own network functions, etc.—will refuse to use any NIC, whether physical or virtualized, except the one containing the cellular carrier's connection/routes. that traffic might then necessarily include DNS queries and any/all other private but now-leaked data.