https://www.eff.org/deeplinks/2015/12/kazakhstan-considers-p...
Anyway, TLS does leak a lot of metadata, which perhaps you'd rather publish a bit less widely. It's an improvement in casual security, which is nice, but not gonna save your bacon on anything specific.
1. Client (user IP).
2. Service (server IP).
3. Amount of traffic.
4. Direction of traffic.
4. Just watching timestamps, you can identify patterns that will give you information on what type of content user is accessing (e.g. if you are oppression nation state, and want to know who watched or reshared a certain video on youtube, you can get that purely from requests patterns, mainly timestamps). By correlating those timestamps with others, you can identify user's friends/collaborators, or other identities they use.
Not a crypto expert but doesn't trusting TLS imply trusting root certs on your PC? Regardless, the Snowden leaks showed that internet traffic can be modified to contain harmful payloads for targeted individuals. Even if only susceptible over non-TLS it still represents a non-zero percentage of internet traffic.