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.