You know.... what is being described here sounds very much like what I've seen with LED replacements for indicator lamps in my control room at work. The LED does not give good distribution of light; if you're right in line with it, the darned thing seems too bright, but from a side angle it's dim.
I think that aftermarket LED is altering the normal flood pattern of the reverse lamps. If the driver is looking at something in the narrower bright part of the beam, he sees further. If he's looking to the side, where the stock bulb would have illuminated, he sees less. Also, the reduced side light would help make the center of the beam seem brighter by comparison.
So.. Uhh... I guess I've just explained why swapping to a different type of bulb can be a bad idea. The more I think about the reverse lights on our various vehicles, the more I'm convinced that additional lamps constitute the best answer. Maybe switch them so you have stock reverse lights when that's all you need to let others in the parking lot know you're backing up, but you have lots of light when you're way out in the woods at midnight.