One other thing too is that all the planets are generally on a flat-ish place. So it kinda makes sense to do some drive byes as we send things out of the solar system, otherwise you are wasting opportunities to study things.
If you just went “up”, you miss out on all that science, and you don’t leave the solar system any sooner. The heliosphere is… well, a sphere, so you wouldn’t get to interstellar space any sooner.
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