I think you'll find that you're worried about nothing. The classic "second plane" planes all fly basically like a trainer without the self-righting characteristics. Your Tiger II will float in for landings much like your trainer does, and it will be as gentle or as hot as you want it to be. The upshot is that it will also be much smoother in the wind and will be more obedient to your control inputs. Nearly everyone who graduates from trainers to Ugly Sticks, 4 Stars, or similar says that their second plane is easier to fly than their first and that they really didn't know how good they really were at flying until they got a plane that responded like it should.