Piston rings don't rotate. Some pistons even have a peg installed in the ring lands to restrict the range of movement in case they do shift. But, they usually don't move much. The crosshatch hone pattern is to set up a proper wear surface between the new rings and the cylinder wall, thus "seating" the rings.
Seconded. I've re-honed more than one block over the last few decades.
As for brakes, there are ways to screw up the install... Possibly upside down instead of backwards? I have a 1974 Dodge, instead of a 1976. Always did my own brake work.
They rotate. If they didn’t why pin them?
I’ve been building engines for long time and also own an operate an engine dyno. The only rings that are pinned are in two stroke engines and that is to keep the ring ends from rotating into a port and breaking off.
“The cross-hatch in the cylinder walls induces rotation of the rings.” http://blog.wiseco.com/ring-grooves
“To steep of a cross hatch angle can cause the rings to pump oil, rotate to quickly leading to accelerated ring and ring groove wear.” https://www.totalseal.com/support-and-downloads