For DNS lookups we're having people testing out DNS-over-HTTPS which would solve this entirely, lookups would be opaque to anyone but the DNS server involved.

For DNS lookups we're having people testing out DNS-over-HTTPS which would solve this entirely, lookups would be opaque to anyone but the DNS server involved. For timing and size you can usually do something about it as a site owner (HTTP/2 for example will multiplex connections so it makes timing and size comparisons much harder)