Modern Mobile Phones are securable devices. They can require pin codes, face recognition and other biometrics to unlock them.
Requiring the SO Mobile App to either travel to a computer where you are already logged in or log in with non-saved credentials really slows down access without significant increase to security.
I am reminded of the Economic terms of Sludge and Nudge: Sludging a process is creating unnecessary barriers in order to guide people away from a particular process. Nudge is the opposite - removing as many barriers as possible to create a frictionless path toward that which you want someone to do.
A way to nudge this process would be to tie into Mobile Biometric Authentication, allow a PIN number unique to the SuperOps Login that could quickly be entered, or use a 2FA from Google Authenticate or some other 2FA provider.