Yeah, approaching planes with their landing lights on look like points of (relatively) stationary light when they're far away, but as they get closer the lights are angled away from your field of vision and are less intense, and it's obviously a plane.
I live near an airport and to this day I still mistake approaching planes for bright stars.
Reminds me of when one of the local news channels in my city did a story about how viewers were blowing up the station's phone claiming to see a ghost moving about in view of the station's outdoor weather camera. They did some investigating and it turned out a spider had built its web across the camera's lens. The "ghost" was in fact the spider showing up as an out-of-focus grey blob moving across the camera view.