AGI Thanks for sharing your situation. It's interesting you've been able to find a vision therapist that could actually determine your dominant eye switches. I saw a surgeon a couple months ago who (finally) confirmed that I have a convergence issue in my right eye and that vision therapy would be my best option to fix it, but when I finally saw the vision therapist, she said my binocular vision was working just fine and that vision therapy would not help me (ugh--so back to online forums and experimenting for me).
To answer your questions: yes, I absolutely benefit from patching, but I am unable to look at most devices with two eyes without significant pain. Now days I can handle some screens in full yellow light mode for an hour or so though. The longest I've patched is about three weeks, but I'm going to try it now more diligently (finishing up week 1 now). I am using a patch that goes over my glasses, so both eyes remain open. Anytime I'm not wearing the patch, I try to squeeze my right eye in as hard as I can to stop it from straying. This helps avoid the ocular migraines I usually get from viewing a screen with both eyes, but then my eye gets exhausted. When it's patched, I let it relax a bit, but still try to keep it "activated" as best I can. I think when I let it fully relax, that's when my binocular vision gets all wacked out when I unpatch.
Regarding e-ink and reflective LCD screens: they do not solve my issue, but they are a lifesaver nonetheless. I started with a Boox Mira. If it weren't for that, I would have had to leave my job, the pain was unbearable. Definitely still pain while using the boox though, and as communications is my job, the black and white screen was incredibly impractical. I then bought the Sun Vision Display reflective LCD monitor. When I first got it, I was very disappointed, because it gave me too much pain to use, and I found it less comfortable than e-ink. But then I got a pair of Neurolens, which, again, did not solve the root issue, but also helped a lot. With Neurolens, I was able to tolerate (I use the term tolerate loosely) the sun vision display and now use that as my primary monitor. My work computer is an ASUS Tuff Gaming, and its backlit screen utterly destroys me. I realized recently, when I started using my personal macbook pro for work, that the ASUS, even being displayed on the Sun Vision and with patching was still hurting my eye. So it must also be something in the graphics card that wrecks me. Hoping now that patching might work better now that I avoid the ASUS as much as possible.
If I'm having a good day, I can handle my macbook pro backlit on full night mode for an hour, maybe two, without much residual pain. But if my right eye is too fatigued for me to keep it "squeezed" with the anterior muscles, then it still irritates me pretty quickly.
Long-winded reply: but in a nutshell, I would definitely recommend a reflective LCD screen or e-ink monitor and I would definitely recommend Neurolens. Both have reduced pain in a significant way for me. But do not get your hopes up that they will solve the issue.