I already mentioned that I am having this problem, but since then both my mother and sister updated their phones and only one of them had the same problem. My mom's phone also wakes to recent apps, and since we both use Nova Launcher and my sister doesn't, I thought it might be the problem. I cleared defaults on Nova to get TouchWiz back, and that didn't seem to wake to recent apps, so then I cleared defaults on TouchWiz to set Nova to be the default again and so far my phone isn't waking to recent apps anymore.
Edit: And after turning my phone off for the night, it doesn't seem to work anymore.