Changing a password for the admins or a customer requires the "current admin password."
That will require every admin to set memorable passwords, that have possibly been used in other sites, as opposed to using the corporate password manager, which does work with the login screen, but not in the random other backend screens through magento.
Update: It appears to be a bug with the form field, as Github currently features a password entry form when adding a new public key. In that form no username is required, but chrome allows you to choose a password to use. As such, eliminating the password reuse problem present in Magento.