If another service such as Matrix can built similar screen sharing into their applications then I’d be able to convince my friends to make the shift. As it stands there isn’t really a 1:1 equivalent.
Bananas Screen Sharing may one day be able to replicate that functionality, though at the moment it does not pass-through application audio (The dev mentioned they hadn't implementet that because it's difficult to do on Mac OS, but seems to be viable for Windows/Linux), but it does pass through the microphone.
I expect MatrixRTC will be capable of screen sharing if it isn't already, so this is probably just a matter of time, so long as Matrix gets the sponsors they need to continue their work.
You don't have to reinvent the wheel, open standards with similar or better capabilities already exist. Don't create another silo, contribute to making e.g. XMPP clients better.