[ratherbefuddled]

> If I've got a long, random, unique, securely-stored password, I don't actually care about having a second factor

I'm not comfortable with my entire online identity being protected by a single line of defence which is a company that I'm paying a few dollars a month to. Not having to type 6 digits off a phone is a pretty minor convenience for me.

[Marsymars]

Do you then avoid syncing any passwords to your phone to avoid having your two factors in the same place? (And similarly, avoid syncing SMS to any devices where you do have passwords.)