Turn iPad bluetooth off remotely? Switch Control?

I have a set of bluetooth headphones than can dual connect to both my iPad and iPhone simultaneously (Jabra 75t Elite Active). Most of the time, I think I like this functionality, but sometimes it's annoying because I leave my iPad upstairs, and when I'm connected downstairs with my iPhone it will frequently announce that the headphones connect and unconnected with the iPad. In these times, I would like to be able (ideally) to manually turn off Bluetooth on my iPad remotely from my iPhone.

Is there a way to do this? I was trying to investigate the Switch Control functionality, but couldn't figure it out. Any suggested solutions would be great (yes, I know it would be nice if I remembered to turn bluetooth off my iPad before going downstairs, but I haven't formed that habit yet!)