If it wasn't there out of the box, and you've had no system updates since, then resetting should put you back to where you were originally. And you say that it wasn't there at first, which implies that either some update or something you did (perhaps without knowing) turned it on. So it's possible that you just need whatever turned it on the first time to happen again. Unfortunately I've never seen anything like this on any phone, so presumably it's something Moto-specific and hence I have no idea what might control it.
Maybe look in your phone app's settings, in case it's an option there?
(The caveat "and you've had no system updates since" is important because a reset only clears apps and settings, and doesn't undo any system updates. So any changes to the system software, whether adding or removing this, will remain after a reset. However if this is an option that was not turned on by default then resetting will turn it off again).