Has nothing to do with show truck or just one to have fun with, it's about safety. When something is half-assed, it's at risk of breaking, then if driving down the road when this happens, you are putting others at risk as well yourself.
Now back to your original question, with it being triangulated, if nothing is bent, then you will have to cut and re-weld to center the axle. If you try to push it over, then you will be putting something in a bind, if you try pushing one side around, then you risk the axle being crooked.