Is there any plan to support the internet standard for DNS security, aka DNS over HTTPS aka DOH?

Most of the DNS providers are offering this as an option. For example CloudFlare:

DNS over HTTPS (DoH)
If you have a DoH-compliant client, such as a compatible router, you can set up 1.1.1.1 for Families to encrypt your DNS queries over HTTPS. This prevents spoofing and tracking by malicious actors, advertisers, ISPs, and others.

To configure an encrypted DoH connection to 1.1.1.1 for Families, type one of the following URLs into the appropriate field of your DoH-compliant client:

Block malware
Block malware and adult content
DNS over TLS (DoT)
1.1.1.1 for Families also supports DoT if you have a compliant client, such as a compatible DoT router. DoT allows you to encrypt your DNS queries, protecting you from spoofing, malicious actors, and others. You can learn more about DoT in the Learning Center article on DNS encryptionOpen external link.

To configure an encrypted DoT connection to 1.1.1.1 for Families, type one of the following URLs into the appropriate field of your DoT-compliant client:

Block malware
Block malware and adult content