I don’t really know about any of those other applications, however the ASL3 Pi Appliance is architected to own/control the underlying operating system. I would not recommend installing other applications that expect to do the same thing - which is presumably what the PiAware image does. Overall, it’s a better user and support experience.
That said, assuming you’re willing to do the work, you can install the ASL3 packages on any Debian 12-based image. You won’t have some of the niceties that the Pi Appliance provides, but installing core Asterisk/app_rpt, asl3-menu, allmon3, etc. is straightforward.