When playing some music on my iPhone XS Max, my MBP 2019 interrupts to play a notification sound in my AirPods Pro.
Another problem is it's extremely difficult to switch from the Mac's speakers to AirPods by choosing them in Sound Output menu. An infinite spinner is shown on the AirPods icon and sound output doesn't switch from speakers. Turning off Bluetooth on my Mac and then turning on again helps with that.
Also, when I take one AirPod out, both can disconnect from the current device and connect to another (MBP, iPhone, iPad.)
I've seen someone mentioned Apple Watch could interfere the AirPods Pro connection. Since my Apple Watch is always on my wrist, that could explain those issues.