I don't see why it would. When it comes down to it they all use virtually the same exact additives just a little more here and a little less there.
Some think it actually does harm and caused the additives to counteract each other and strip off anti wear additives but I dont believe that's ever been proven.
If you feel your engine is dirty just shorten the next two oil changes, or if your the type who likes to add stuff to your oil then you can try that.