I am looking into the Skritter app on iPad and would like to know whether this app will support multiple users. Say if two people are sharing the same iPad, would each person be able to use the same app but just log out and log in with each person's individual login info?

Yes, I do that with my daughter. We both have accounts and just have to switch user when we like to study. Very convenient and fast. I also have two own accounts that I can do that with on those devices.

It already does support multiple users, check settings - account