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All true, but also, the reason the curve can appear much steeper than it is, is because of your relative position to the rocket and the fact that on a spherical earth the difference between your true vertical. And the true vertical of a distant object diverge from perpetually parallel until it becomes obvious that their is a degree of angular variance to between the objects.

Visualized in 2D: on a clock, with a center of gravity at the point where the hands rotate, from 12:00 and 12:01 would look essentially parallel if you stood on the markers but those 6 degree of variation would be miles of difference at 30,000 feet above each mark on the clock.

Back on earth if you are a safe distance for viewing a rocket launch the difference would be roughly 0.04 degrees but yet again what is roughly 2.5 miles on the surface would be would be a greater difference the higher up that imaginary vertical line, add in the fact the vessel is curving for it's orbital path and likely curving away from inhabited viewing locations, the reason launch sites are often on the coast, and that it is physically traveling away from you, you will perceive a severe turn when it isn't nearly so severe from the perspective of the rocket.

Your mom's a rocket.

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