You can maintain a Background Bluetooth connection on WatchOS for timely Alerts. You can refer to the WWDC2022 session named : "Get timely alerts from Bluetooth devices on watchOS".
You will also need to add Bluetooth-central to UIBackgroundModes in your Watch app's Info.plist.
If you have to send bluetooth traffic, then there is a limit on how long the watch can remain connected over Bluetooth when your app is in the background. I hope this helps.
Topic:
App & System Services
SubTopic:
Core OS
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