Unfortunately I thought I had it working but after a camera firmware upgrade, I'm now left with an "Adobe Flash Player is no longer supported" plugin error when I try to view the live stream.
This half makes sense since indeed, Flash Player is dead, but it doesn't explain why it worked without an issue before I upgraded the firmware of the camera. I went back and forth with Reolink support because the new firmware disabled all ways to access the camera except their app (that's now fixed and it's accessible over HTTPS and RTSP) but this plugin error persists.