That's correct. What you're describing is pretty common in commercial settings. Lets you have two different breakers available at the same box, which is useful if you have two high draw appliances or tools next to each other. My garage, basement shop, and sewing space are all wired like this for just this reason.
It's pretty common to wire these as MWBCs, which means you have three wires going into each box, instead of four. In that case, they have to be handle tied breakers (at least for installations post 2008 NEC). But they don't have to be, and in romex land, it's less common.