Oversize pistons don't specifically need to increase compression. An 836cc kit 65mm same deck height flat top piston replacing a stock 750cc 61mm flat top piston will lift the compression ratio from 9:1 to ~10:1, true. Dropping the piston deck height 1mm will bring the CC back to ~9.25:1. Admittedly I don't know of any piston that does this.
High compression pistons, even for these overbore kits, have domed tops to raise the compression ratio. I consider 12:1 to be where "high compression" begins. The engines I saw issues with were
KZ1100s with oversize 12.5:1 pistons. You needed a different starter motor to get them turning over, I can't remember whether it was from another bike or rewound for more torque.