No, they can sit near your 1.1.1.1 servers and catch all incoming and outgoing traffic, watching connections to your 1.1.1.1 servers that initiate DNS queries and actual outgoing queries that 1.1.1.1 makes to authoritative servers and responses too.
vs
With EDNS sitting in front of the authoritative server of the site this actor is trying to monitor.
The latter is easier than the former.