Turning Off-On BT doesn't work.
I haven't tried Logging out of iCloud on my Mac, and never will... Because this functionality isn't important enough to put myself through that kind of hoop-jumping.
Hand-Off still works between my iMac and my iPhone, in both directions.
The system makes you authenticate iCloud 2-3 times during installation of the OS Update. Shouldn't have to completely remove your Mac from iCloud and then set it all up again.
I'll stick to sharing to Notes and then grabbing off of that on my Mac. It has, and will continue to, serve me well.