Yes, I think it would be good to have all piles with autoplay somehow marked in the "Inspect your starting cards" step. One could then familiarize onesself with settings one has forgotten.
In addition, this would make autoplay settings discoverable by players. One of the takeaways of the giant feedback thread for me is that players sometimes wished for things that already exist, they just didn't know about it. If you know what Moat does, there is usually no reason to right-click on it, so you never know that it has an autoplay setting.