Ive heard about the pressing in the control stick to jump, yeah
the left trigger makes you jump. the quirks in Gunvalkyrie's controls are much deeper (and dumber)
The game technically has aiming mapped to the 2nd stick, but it doesn't work like your average FPS/TPS. Basically, it moves a crosshair on the screen (like if you were playing a light gun game) and kinda veers your character on the side, but it doesn't actually rotate. To change your heading, you have to press in the stick to rotate 90 degrees.
What really makes it uncomfortable, though, is that the game has a "combo system". When you use your jet pack, you can press in the left stick to boost forward, backward or to the sides. If you do this, fire your weapon and then change direction, you rack up combos that make your main gun more powerful. This means you have to press in *both* sticks at the same time if you want to do any serious damage and get good rankings. gunvalkyrie was made to ruin analog sticks