I run GNOME 3.36 on top of Wayland and Arch Linux. I can create meetings and start the screen share with no reported issues, but people who join only see a black screen (plus whatever I have drawn). This is because Screen is trying to use X11 APIs to capture what's on my screen, but things work differently under Wayland so it is not able to capture anything.
Here is code that implements screen capture under Wayland for OBS Studio: https://gitlab.gnome.org/feaneron/obs-xdg-portal/-/tree/master. Screen will probably need to do something similar (or wait for Chromium/Electron to support screen capture under Wayland).
Output of snap info screen:
summary: Supercharged meetings for remote engineering teams
publisher: Screen, Inc. (screen)
Communicate visually with drawing. Collaborate efficiently with multiplayer
screen sharing. So easy, it feels like you’re in the same room.
refresh-date: today at 13:01 PDT
stable: 1.0.14 2020-03-24 (73) 143MB -
edge: 0.8.32 2019-11-25 (26) 121MB devmode
installed: 1.0.14 (73) 143MB -