Up! I came here to submit the same bug. Unfortunately, refreshing favicons is crucial for my work (I have 5 messengers open as pinned tabs in my browser).
Here's the video if it helps. Note how Discord favicon changes in Brave (Chromium), but not in Orion.
I suspect this is a Webkit bug actually, but maybe there's a way for Orion team to fix it quickly?
P.S. I found Application Support/Orion/Defaults/Favicon Cache folder and emptied it, did not help :-(
Thanks!