Interesting! According to the manual, I have to maintain something like 3200 or 3400 RPM for 2 seconds, for the sport mode to kick in and stay on. As I interpret the manual, the throttle sensitivity does change, just by selecting the sport mode - not entirely sure of that.
I've gotten so I simply don't use anything but the manual position anymore, and I do all the shifting with the buttons on the steering wheel. It kind of bums me out because other than that, the car is an absolute joy. It's in pristine shape (it's a CPO car) and its performance is so far and above any other Porsche I've owned, that I can't believe it.
Ok. I'm all done whining now.

I'll be happy and keep thinking that I'm very fortunate to even own a Porsche. It still beats driving any other kind of car!
Thanks for listening, guys!