Hello   @myTapo_ 

Thank you for the inquiry

If you've setup 24/7 Continuous recording on the camera, it should still save the recordings even when the camera is offline (offline but still gets an IP address in the network)

How can I view 24-hour recordings of Tapo cameras in Tapo app?

But motion detection relies on cloud service and motion detection recordings can be affected or stopped working. 

Streaming and recording will be disabled in the Privacy Mode of my Tapo camera , with privacy mode active, the recording should stop automatically itself. 

Feel free to let us know if you have other questions.