While I have not tried this yet, I am hopeful ultrasonic cleaning has a chance to be successful without imposing any physical damage. Main problem is to never physically touch the fresnel side of screen, any screen. In fact only screens made of glass can be touched on their convex side.
Key is the right chemical mixture for your particular goo to come off without affecting screen surface. Ultrasonic cleaners are quite cheap in small sizes, so tis is hardly an expanse if you can see more use for it. For glue residue there are removers, often called "sticker-remover" or similar name, that are super effective and so far I've not seen them affecting (read dulling) surface itself. So probably this would be first step in ultrasonic attempt, then followed by isopropyl alcohol also in ultrasonic and if all that s successful, last step is a dunk / rinse with distilled water and blow it dry with cold set hair dryer. If there is any improvement, it means it works and try the routine again.
Note that I'm on a hypothetical, have not tried this yet and for ultrasonic approach will impart any damage to screen by itself. But some chemicals may do that, so got be gentle on strength applied. I do have a couple of Bronica screens that do not appear damaged, but have been smudged up on fresnel side and they are the first to be tried with this approach
