It sounds like you want the photos to be accessible from your actual phone, which is something that most of these already support. Some of the apps will even automatically upload to cloud services for you.
Most of the use cases you describe like sending FB messages or live streaming on Instagram do not warrant a $3000 camera body attached to a $3000 lens. They’re perfectly served already by actual phones and their built-in cameras.
The people buying these professional units don’t buy them to send straight to FB messenger.