On iOS, if you swipe control center down and then back up but don’t lift your finger, the screenshot will not have the logo. I do this with Twitter so my screenshots don’t have the X logo.

Interesting that this works. I know I have been frustrated recently when trying to take a screenshot of a bank transfer or something similar, but I couldn't find which app that was to test again. I tested on the iOS Passwords app, and I couldn't get the trick to work in that. I wonder if I'm doing something wrong, or it only works in specific apps.

Each time I tried to take a screenshot of a password, the password was missing from the screenshot - even when I kept the control centre pulled down far enough that the Password app was starting to look blurry.