the odds are odd as the ellipticals focus on the sun
An eliptical by definition has two foci, so sayeth Mr. Kepler.
Aside from the sun, Jupiter masses just about everything else in the solar system combined, so even if it's not bringing asteroids or comets to their doom on the first pass, it sets up an orbital resonance that either ejects the offending flotsam and jetsam from the solar system entirely, or sets it up on an eventual collision course. It's the vacuum cleaner/dust mop of the Solar system.
Without Jupiter, Earth would get bombarded a lot more than it did/does.