I like this case study a lot. While I don't where glasses at present I like knowing there are tools like this that can help retrain one's eyes and brain.

I would tend to say that you are not deluding yourself by thinking it might be possible to throw away the glasses. Since you've made 10-20% progress in one month of -imperfect- practice it seems like more time and regular use of the app should make a dramatic difference.

I'll be very interested to read part 3. Keep up the good work (both with the app and the reports)!