This can be summed up pretty easily. The TI graphing calculator has no internet access and no ability to store notes. Neither ability can be easily added. As long as that is the case, they will win, because the test companies don't want to deal with people having internet access and notes. Now if Apple/Android made a simple way for a test proctor to put your phone into a single app only that you couldn't easily break…
You can store notes on the TI-84! With the program called TI NoteFolio. This can be disabled in at least The Netherlands with the so-called "Examenstand"[0] (Exam mode).