I have had similar eye issues all my life. And when I'd go to the eye doctor they would just dx some small amount of astigmatism - to which glasses never helped. When my health is worse the vision problem is worse. Screens and reading are the worst.
Long story short - call around until you find an eye doctor who knows about prism lenses. They need to test for divergence and convergence. I learned about all of this on an Ehlers Danlos Forum. Two years ago, I paid a fortune for glasses that didn't work, told them to fix it, they still didn't work and the woman who does the fitting pulled me aside and said, "I think you should see Dr. Wylie in Spokane. He deals with unique eye issues." He literally did a 10 second test while in his exam chair, said, "Yep, you have a convergence issue. Totally common in EDS." They made me glasses with my astigmatism correction and with a prism lens (you cannot tell) and vioila! First time in my life I can read comfortably. Recently, I asked his staff why all docs don't perform the test and know about divergence and convergence. She replied, "It isn't covered by insurance."
Anyway, I've referred several friends to him and similar story, first time they have glasses that work.
When I am feeling decent, I don't even wear glasses. So, I definitely believe eye strength has to do with other things.
Oh, he also does a test on the computer that tracks how well your eyes are tracking. One of my eyes could hardly track (30%) both were poor. This has to do with either brain function OR optic nerve function. It's an amazing test and called: RightEye Functional Vision EyeQ
.