Just a slight correction: The distance from Earth to the edge of the observable universe is 46 Gly, not 13.7 Gly, because of the metric expansion of space.
True. The light has been traveling for "only" 13.7 billion years, but meanwhile the space between origin & destination kept expanding. That's why I wrote about an apparent radius, but on further thought I no longer believe that the travel time will reflect in an apparent distance. It's the amount of redshift that will result in a calculated proper distance.
