Do people suffering from Multiple Personality Disorder choose the names of their other personalities?
In a manner of speaking, yes they do, but it isn’t a conscious process. Just like the formation of the personalities themselves, their names develop from incidents in the past, repressed memories and so on. If, for example, an aggressive personality forms to deal with bullies the person encounters, it may take the name of an aggressive or heroic person the individual has met or admired.