Earlier quoted context omitted.
You could consider setting up a separate email account just for the verification messages and have that on your phone.
Why should I have to go through all that faff when I have a perfectly good password manager?
If you are not using dedicated special-purpose email addresses with specific services, you're already grossly mismanaging your online safety.
Think about it for a second: how does your password manager help you if your email password gets leaked?