My daughter is a freshman statistics major. She got a 5 on her BC exam, and went straight into Calc 3 last semester. Her final grade was around a 96 or 97. She also got a 5 on her AP Stats exam, but since that’s her major she decided to take Engineering stats at her school, which is basically Stats 1 and 2 in one class. She could have gone directly to Stats 2 but her advisor advised her not to. She’s happy with her decision.
As some others have said, my d says Calc 2 is a major weeding out course at her school, and Calc 3 is actually supposed to be easier.