Well I had a play with this on a 3 stage round trip to pick my missus up from work, and it seems that no matter what mode the car was left in, it benefits from a change every journey. I have my individual set up for Sport on every setting except aircon, which is set to eco.
Drove to the missus' work. About 1/2 a mile into the journey I press the mode button and change from individual to sport and the car's low end pick-up improves and the car seems just a little thirstier than normal. Get to her place, engine off, play about on my phone for 10 mins until she comes out. Drive to Sainsburys (it's about 1/3 of the way home/3 miles). The car's low end pick-up isn't quite as sharp as it was when I changed modes. Change modes again, from sport to individual, and the car sharpens up again. Do the same from Sainsburys to home (6 miles), changing back from individual to sport again and the absent low end sharpness returns. Very weird.
Without changing modes, the car is plenty sharp for me with the DTUK box, but it's still noticeable. It's like the car defaults to Normal on every journey, but the display icons in the mode selection don't reflect that.