This can be done with Tasker. It's the most advanced phone app for automation. I believe it would be simple to make a task showing a screen that cannot be dismissed whenever the phone is unlocked.
Well the site is down so we can't know for sure right now. However, I think the keyword is "my". There's nothing in the title claiming a cure for depression in general. And that's an impossible feat anyway.
Oh I love TW! Although I'm a novice, I've found some use in scoring my journal entries to find out my monthly/all-time mental health score, as well as my food score. It's nice for knowing how I was in previous months.
As for the present, I know when I'm doing poorly in either of those areas, but it's harder to dismiss them as normal when I see their abysmal scores.