The Bluetooth.reg file's content is rong
I use hackintool to export bluetooth reg file for windows, but when i open this file, i found the content is wrong, you can see this picture

This is my bluetooth device
What version of macOS do you have?
Big Sur 11.6.1 My laptop is Lenovo Y9000X 2020, the model of wifi and bluetooth is Intel AX200
Please try 3.7.9 and if it still doesn't work can you please show me the output to these two commands
defaults read com.apple.Bluetoothd.plist LinkKeys
defaults read blued.plist LinkKeys
I tried 3.8.0 and it still not worked, here is the output of these two commands

Is that because i'm using the intel wifi and bluetooth adaptor?
I'm wondering when macOS moved to using the keychain for the LinkKeys. Perhaps it's earlier than Monterey? Do you have entries in your keychain for BluetoothLE / BluetoothGlobal?
Here is the snapshot of my keychain that filter by "bluetooth":
I don't know whether this is what you want