Hello LCHJR,
To help us get a better understanding of the issue, we’d like to ask a few questions.
1. When did you first notice this behavior? Were any changes made to your device or its settings before this began? If so, what was changed?
2. Just to confirm, it seems like the Music app opens on its own when this happens, is that correct?
3. Does music play unexpectedly at any other times as well, or only when disconnecting Bluetooth headphones or devices?
The above details will help us plan how to proceed.
Please also try restarting your device, as restarting can help correct some unexpected behavior. This link will guide you through how to restart: Restart your iPad
"How to restart an iPad without a Home button
- Press and hold either volume button and the top button until the power off slider appears.

2. Drag the slider, then wait 30 seconds for your device to turn off. If your device is frozen or unresponsive, force restart your device.
3. To turn your device back on, press and hold the top button until you see the Apple logo.
How to restart an iPad with a Home button
- Press and hold the top button until the power off slider appears.

2. Drag the slider, then wait for 30 seconds for your device to turn off. If your device is frozen or unresponsive, force restart your device.
3. To turn your device back on, press and hold the top button until you see the Apple logo."
Thanks!