It really all kind of depends on your machinist and what's done. If it's 'old school' machining, the hone produces a series of V shaped crosshatches inside the cylinder. Your rings have to match up by knocking the points off those V's, so they look more like \_/ instead.
In more modern facilities, they can do what's called a 'plateau' hone. Essentially, just one more step, where they knock the points off the crosshatching before the rings ever get installed, so it looks like the second pattern mentioned above. This is what modern carmakers use, because break-in is not nearly as critical.
Flat-tappet cams have their own stuff going on. Once that ultra-critical part of the startup process is done, if you have 'normal' hone in your cylinders, you still need to be careful with the initial miles. It's not a bad idea to follow the process, even if you have a plateau hone. Avoid full-throttle acceleration, but don't be afraid to give your engine some gas. Vary the engine speed as you drive, and avoid constant RPMs for long periods. As @bbmach
was saying, acceleration 'seats' the rings, and then deceleration helps wash them with fresh oil. I would say that 500 miles is a bare minimum for avoiding long full throttle blasts. The more time you spend gently helping your rings seat, the longer your engine will thank you later, with a long happy life and good ring seal.