Kick serves are struck with an upward swing, to impart the high arc and high bounce, you and me lefty, bounces off to the right mostly.
Twist serves also struck upwards, but arcs to the right, bounces to the left, so you are correct.
Topspin/slice serves are tossed somewhat normally slightly left, bounce high, but not nearly as high as kick or twists, arc right, bounce right.
Topspin serves arc down, bounce up.