Since I'm reading stuff about this, a note when I first updated to Android 13, when the other slot still had Android 12 the phone REFUSED to stay on the Android 12 slot after "fastboot reboot-bootloader".
To describe it better, slot A was 12, slot B was 13, I was unable to reflash 12 bootloader on slot A even though slot A still had the 12 bootloader. Only after flashing 13 bootloader on slot A could I switch the slot to A and B freely.
A big part of experimentation before flashing 13 to both slots was to see if having the phone on 12 allowed the bootloader to be downgraded, short answer no. So if 13 bootloader is on 1 slot it needs to be on both or else the 12 slot will be unusable.
Fyi when I said 12 I meant Android 12L July and 13, Android 13 August
Edit: fixed grammar and errors when accidentally hit post
My main reason for posting this is maybe it could explain why some people are having bootloops.