Doesn’t using device DNS over TLS/QUIC make you more trackable?

What are the privacy implications of using DNS over TLS/QUIC compared to DNS over HTTPS?

As far as I can understand it, requesting ConfigID.nextdns.io means anyone who can monitor your network traffic can see your configuration identifier. You reveal even more info when using the suggested Device--Name-ConfigID.nextdns.io naming scheme. (The initial DNS request must be resolved by someone other than NextDNS as you don’t know NextDNS’ IP addresses yet at this stage.)

DNS over HTTPS does not have this problem as the configuration identifier and the device name is sent inside the encrypted tunnel rather than in the clear.

Shouldn’t the setup page recommend users choose DNS over HTTPS whenever possible?