I think the mechanics are the same as how it was explained to me for E (but I'll happily stand to be corrected by someone with direct experience).
Your existing body fat doesn't get redistributed. Rather, the distribution pattern of new body fat changes over that 6-month period of time.
If your weight remained perfectly stable then this wouldn't cause any visible changes, but in the real world we're constantly gaining and losing fractions of a pound over the course of the day.
Over time, you'll eventually burn through the body fat in places where it isn't building up anymore and gain it where it does. You can accelerate this process by deliberately burning off your old body fat, but large swings in body weight in a short period of time are generally considered to be unhealthy for a number of reasons.
Just keep working slowly toward your ideal and you'll get there!