I’ve had the multi-scan behaviour for a long time when I used to use the official Fairphone FP4 (non-flip) case. It seemed to stop when I was still on Android 12 and switched to the flip-case, which uses a long cutout for all buttons on the side instead of one perfect-fit cutout for the power button. So yes, the issue is gone for now, but I can’t reliably confirm the correlation with the Android 13 update.