If you're privacy-focused, you should run your own recursive resolver. Running your own authoritative server doesn't help much with privacy if clients still go through centralized recursive resolvers to query your domain.
Consider Cloudflare (and large scale infrastructure providers like TLD operators) point of view on the traffic: If your private resolver is using root hints, it's IP is now correlated with the lookup of that domain even if they don't proxy the website. That's you and your users, and they can do that at scale - So it's important to point queries for your assets directly to your authoritative servers or rewrite inline without ever querying a internet source.
dnsdist[0] (also PowerDNS) allows you to load balance and apply rules across upstream resolvers which opens up allot of possibilities on the recursive side.
Trusted resolvers with a healthy number of users originating iterative queries from non-descript and changing IP's is probably the best way to anonymize your recursive traffic.
