If you change personal information in your Apple ID account, then it will change on every device that is using that Apple ID. It's associated with your account, not the device.
If you went into your Google account (if you have one) and changed information you'd expect it to change everywhere you sign into that Google account. An Apple ID is no different in that respect.
If you explain why you want/need this to change between your devices, we might be able to make some suggestions. Though, if it's just to distinguish between devices the trouble is unlikely to be worth the effort.