There could definitely be a lot of uses for such a system:
If wreckage can get in the way, you might choose to try to take out a unit in a choke point to disrupt movement.
If wreckage can provide cover you might position your units so that larger units can provide cover for smaller ones. You might use the wreckage of an enemy unit as cover. You might choose to move one of your units in an otherwise unintelligent way or fire upon one of your own units to prevent enemies from using it for cover.
If units have morale, you might have to ensure that weaker units avoid the wreckage from previous battles so they aren't lost. You might ensure your units pass by the wreckage of enemy units to improve their morale.
If equipment can be salvaged from wreckage, or if you can gain resources from it then wreckage can potentially be valuable.
It's something that's been done before in numerous forms, but I think it's certainly worthy of consideration.