What happened with Skype before was that Microsoft would ping any links from their servers, so it was really easy to prove it by generating a new web server, publishing it nowhere and then mentioning it in a chat. This caused some publicity and they stopped the practice. Skype didn't guarantee E2EE at that time though.
But perhaps you could do a similar 'clean room' excerise to prove it. I don't think they would break the E2E by the way but perhaps there is something calling home in the app itself.