Two days ago I installed Big Sur Beta 4 on an external hard drive. I had forgotten that I had disabled booting from an external drive. So, I never actually got into Big Sur. That wasn't my goal. The firmware updated regardless. Not only has it completely resolved the crash issues with Safari, sleep and BridgeOS, but I have the bong sound back at startup, like the good old days.
This whole incident has made me much more wary of system updates, even just "minor" security updates. I used to update without considering the consequences. Now I consider the time while the firmware is updating to be the "two minutes of terror" because I never know what it's going to mess up, or if there's a chance that my Mac mini will get bricked.
I'll be glad when BridgeOS and the T2 are a thing of the past, once the Mac moves to Apple Silicon. There have been significant benefits from the T2, but the added complexity is a kludge that's really just a bridge to Apple's own SoC.
Again, standard disclaimer, Big Sur is still in beta and can potentially cause issues, even if you are just updating the firmware. In fact, that's probably the most risky aspect of this. It's good that beta 4 is open to the public, which probably means Apple considers it more stable, but if anyone considering this is feeling cautious, then wait for the final release. Just because it worked on my Mac mini, doesn't mean that it will work out well for others.
I have noticed that startup/shutdown takes a little longer with the new firmware, but as far as I can tell, everything runs fine.
Colstan