Most people consider their memories to be very important to them, so any configuration without a similar set of memories is going to be distant. Many people consider some political/social/family group/belief system to be extremely important to them, so an alternate version of themselves in a different group would be considered moderately distant. An Olympic athlete or model may put an unusually large amount of importance on their body, so changes to it would move a configuration away from their idea of self quicker than for most.

This hints at the interesting idea that the concept of I could be strongly influence by culture and personality.