Why not both? A message log can always be consulted later, but it doesn't give you a live feed of things that are happening.
I'm also ADHD and, like OP, I appreciate having the stream of toasts that lets me know what the software did. It's saved my butt a bunch of times when I accidentally do something I didn't mean to (deleting instead of archiving, for example). A message log would just get ignored, but toasts help a ton because they're visible.