Whatever you’re trying to look at, terrestrial to terrestrial link or for satcom (or drone tracking antennas!) is common. The dishes with an offset feed like I liked to have the main beam pointed up relative to the perpendicular of the dish. So you may see it tilted up but not straight into the sky. This is a common arrangement for things like satellite tv service which are quite common and often repurposed for ham and other uses. You’ll also see a cantenna feed on center fed dishes, think like a big deep space dish or a radio telescope type. Those do point perpendicular to the dish.