For CS majors, the important classes are Linear Algebra and Discrete Math, and for some classes like machine learning, MV Calculus. If you have a strong foundation from your AP Calc BC class and get a 5, I would advise to skip. But like everyone else says, it depends on the school.
At Berkeley, Calc 2 is a major weeder; my kid was thinking of (re)taking it but decided to skip. IMO he probably shouldn’t have skipped it, but so far there hasn’t been anything he has needed out of Calc 2.