Oh, mine doesn't and I change drive modes all the time.
What's kind of annoying though is that there isn't a way to just run on the engine all the time (without forced regen), whilst there is still charge in the battery. Like when you don't require much throttle to maintain speed (in hybrid) it will mostly use battery until you put your foot down a bit harder. Over time, that battery use adds up!
My commute is 40 miles each way so I like to use half my battery one way and half coming back. It's tricky to not let it drop too low without using the forced regen (and using more fuel) whereas I'd prefer to just use the engine, without forced regen and without using battery.
I could of course use all the battery on the outward leg but then I'd not have charge for the return leg for any 'boost' should it be required. Saying that, it could be a more efficient way of doing it - high mpg one way, low mpg coming back = decent average?