@George-Curious Interesting that the Default Asobo King Air does this. I'm away-from-sim for a few days, but I might try to repro that. If I'm able to, I'll tag the moderators on my original bug post in the FS2024 forums.
I also might try to whip up a quick .NET app that monitors some of the NAV/VOR SimConnect variables and see if there's anything interesting going on. My hypothesis is that the VOR signal is intermittently dropping for a short period of time (seconds? milliseconds?), and since the autopilot can't receive it, it reverts to ROL or some other default mode. Perhaps some autopilots have a longer polling interval for receiving the signal than others, and are more resilient to signal drops. Since BKSQ likely uses common code for most/all planes, it might explain why I'm able to repro this behavior on all of them. All wild guesses, but it sort of makes sense as I think about this.