To all available information, your home has nothing to do with the alert. The alert occurs if one of the trackable items (airtag, airpods, etc) is moving with you, but the registered owner is not within bluetooth connectivity of the device. I've had it happen with my son's airpods a number of times because he let his phone battery die, triggering the alert for any other iPhone nearby if moving simultaneously with this tracker.
I'm not sure what I'm to make of your absence of your alerts. Perhaps that happens because you have no such trackers moving with you? Like, are you saying you do and there are false negatives?
Apple's documentation indicates that notifications are in some cases triggered by the fact that a device has followed you to your home or other "significant location". [1]
1: https://support.apple.com/en-us/119874