Re-uploaded the latest versions again. I added a new feature to both that blocks objects from being dropped on impassable tiles now. I fixed a typo I made in the last update & I'm hoping that fixed the autonomous movement issue on your end. Even with the typo it already works right on my end for whatever reason. As soon as an even snaps back it starts moving again. It also works with stackable switched on for me. The events start moving after the drop. Not sure why its not working for you unless maybe I uploaded the wrong file before. Try it again.
I re-downloaded the file. Now the draggable event snaps back to its position if it is placed over an impassable tileset, but the autonomous movement remains paused. I don't know why it is not working for me, but it is working for you. I recorded a little gif to show the issue: https://imgur.com/tVMfFd9
Ok, so after updating my test project files to 1.6.2 I was able to reproduce the issue. Seems to have been cause by a typo. A missed capital letter in a variable name to be exact, but fixing that seems to have once again fixed the issue on my end. Try re-downloading the file again & let me know if it doesn't work.