Sorry about this, but when I tested the Medium privacy I found it removed your setting.
1) Can you add your setting again to hide the theme name from the Source code?
2) Also, I need with Medium Privacy option I can to open the website normally like the light privacy. I mean, I need to set a medium privacy option and in the same times, the user can open the homepage, posts, pages and wp-login with normal links without hiding.
Now I set it with medium privacy, so you can check about what I mean.
Thanks,