In another way, this is pretty much the same question. Computers nowadays purport to serve the user, but often serve others first, either openly or covertly, by installing malware, surveilance software and botnets. There have been plenty of incidents where private data has been made available to third parties without the users consent or even knowledge. There is no reason to think this would be different when using a robot.
So, apart from uncanny valley, i would need a substantial amount of trust in the manufacturer and/or operator of said robot to allow one into my house, especially if it's equipped with sound and/or video sensors.