well, technically they are not at the same trainer, they are from a game you own, but the trainer is a different trainer.
I am on the fence, I can see why people would like to change nicknames, but it is nice when you have pokemon from other people who each have their own way of naming pokemon.
I am capable of manipulating matter on a subatomic level by speaking. A mere flick of my finger is sufficient to alter the gravitational pull of the planet. I shelve physics texts under "fiction" in my personal library. I consider the Laws of Thermodynamics loose guidelines, at best. In short, I am grasping the reins of the universe's carriage, and every morning I wake up, look the heavens and shout "Giddy up, boy!" You may never grasp the complexities of what I do, but at least have the common courtesy to feign something other than slack-jawed oblivion in my presence. I, sir, am a wizard, and I break more natural laws before breakfast than of which you are even aware.
-Vaarsuvius, Order of the Stick. (with all due respect to Rich Burlew)