Ask HN: How can a startup in home security gain trust from users?

Hi all, we are working on a software for home security use cases like human detection or facial recognition. We focus on privacy and process all the video offline on-device. But there is a problem: livestreaming is almost a must-have feature for this software. But livestreaming requires a server for routing. Up until now our software works without a server, but the user can only view livestream on a local Wi-Fi network.

I read many threads on HN and see that many peoples are concerned if their video footage is streamed over the internet. So the question is: How can we gain trust from the user that we do not collect any of their data?