"Press Run to run this script..." confirmation started appearing...why?

I've got a set of AppleScripts I run from Spotlight, and all of a sudden they run with a confirmation alert that I've never seen before. Upon launch, each of these scripts puts up an alert that says "Press Run to run this script, or Quit to quit." So I gotta hit a button before the script will continue running.

I did a web search on it, and they all said the same thing: You saved your script with the Startup Screen option on. But I didn't! They've been running headless for months, some for years, and none of them started displaying the confirm dialog until now. I even opened and resaved them with the Startup Screen option off (it wasn't even checked when I went to resave them) and they still do this.

I guess I'll try fixing permissions unless somebody has a better idea. As far as I can tell, I've done everything right.