Well create metadata resistant protocol that communicates on set intervals of time with set length of random data when there is no real payload. This could be done on TLS with little or no effort. The math behind the crypto is strong enough. No need to harden it further.

Every client sends and receives 16KB blob every 30 seconds - this way you could prevent analysis that you are communicating with someone. You could learn a lot just from the size and frequency of packets in a normal chat program.

It seems like there is a 'No-Free-Lunch' tradeoff between bandwidth efficiency and traffic analysis resistance.

I prefer the later to the former in a heartbeat.

LOL.

We really need to make the world at large aware that a USP in the crypto area is a big red flag.

"We use up to date, standard protocols and crypto techniques" really ought to be the top of the marketing blurb. "Ours is better because we invented it" is really terrible.

WhatsApp already does everything that messenger should do - send text, images, video, files, location, group chats. The only thing that's not yet there is super-fast speed and security - and those are Telegram's priorities. They will get feedback from crypto community and update their protocols, they definitely have a potential to do it.