If you have the single sign on option in use, have it automatically pull the needed information and log you in when you load the login page instead of having to click a button.
If this is implemented it would have to be an option that is able to be set. We (and I'm sure other organizations as well) have a single "local" account that we use as essentially a backup administrator account. This account is also used to sync with Azure AD, so that sync doesn't break when people in IT leave the company.
With a setup like you're suggesting, that account would become inaccessible.
This is possible if you have MS365 and Azure in your environment.