I also have a sticker in the front window to alert the firepeople of my furry kids inside. And, I would have rounded them up also before getting myself out! I wouldn't have even thought twice. I like the idea of using pillow cases since my girls would be much easier persuaded to run into a pillow case (they are wonderful fun to play in!) than their carriers! Hope I never have to make the choice, but in case, it is a great idea to have a plan in place!