Well, good thing "push notifications for Signal NEVER contain sensitive unencrypted data & do not reveal the contents of any Signal messages or calls"
source: https://x.com/mer__edith/status/1734320963074797917?s=46
Discussion
"The big issue is that the push gets sent at all, not what's in it. It lets an attacker identify somebody by *when* they get messages, messages the attacker may even have sent."
This is why TOR is so slow. The TOR protocol must randomize the time it decides to transmit the message, a delay, so that the user does not get de-anonymized.
If all you want to do is talk to other nerds on SimpleX or Matrix or whatever, then do that. But most people want to introduce their family and friends to a good, privacy-respecting alternative and that's often Signal.