I am not qualified to provide any sort of diagnosis re the OPs concerns over double vision. I have had an experience that may provide some perspective on his experience, might even suggest a way forward.
I had cataract surgery almost 18 months ago. It included Toric lens to fix astigmatism in both eyes. Like most I went into the surgery with fingers crossed hoping Id come out the other side with 2020 vision, no astigmatism and perhaps just a need for reading glasses as I'd opted for optimizing distance vision.
The first eye did not come out as sharp, clear as hoped. A post surgery exam revealed a bit of distortion on the surface of the inner back of my eyeball near where the optic nerve exits, for which there is no fix. An Optometrist evaluation claimed I was getting 2025 from this eye. But it seems worse than that to me.
The second eye came out about as well as anyone could ask. Vision was sharp, clear, 2020, and oh my goodness things were so bright! I ducked into a local gas station and bought some cheap sunglasses to help with the glare coming off white building walls…
After a month or so of letting things heal, settle, I went back to the Ophthalmologists for what became a series of exams exploring my outcome. I had had detached Vitreous in both eyes for years and knew the scars from those would not miraculously be eliminated. In fact with better vision the scars are now a bit worse, as I can see, some adjacent tissue. I also now had zillions of tiny floaters... everywhere I looked. Over time as predicted, they have receded to the point I don't notice them. The left eye was blurry, the right perfect, but somehow it seemed my brain was not doing the "dominant eye" thing and selecting the better view from the right eye. Puzzling.
One day, staring at a street sign 50-100 yards away I noticed... double vision. It started as this blur Id been seeing, but staring at that one place, one view became 2. What I had been seeing, depending on how long I stared at a thing, was the 2 images diverging. Quick glance all looks fine. Hesitate a bit, things blur. Stare some more and the two images slide apart (horizontally in my case). I was referred to a Neuro-Ophthalmologist who first had me go back to the Optometrist to prescribe so-called Prism lens, as an experiment. It worked. He and I then met for another exam, conversation on the causes of and the implications long term.
Ironically, while this was going on, thinking months back pre surgery, I recalled a private email I'd had with a BFer in which I discussed seeing double vision through my bino. I had worried, this was a collimation issue. But then thought as I was just back from birding for several hours, perhaps my eyes were just tired. As well, In the recent past before the surgery I had returned a different bino to the seller as I thought I was seeing double and surely this sample must be out of collimation… It seems fair to say, the post surgery experience of double vision was something going on before the surgery, something masked by the impression that my crap vision was caused by cataracts.
As well based on the conversation with the Neuro-Opthalmologist, it also seems fair to say this a known, now diagnosed condition having to do with the muscles that control eyeball movement and nothing to do with misaligned replacement lens.
Sometimes it's not about the bino. Sometimes not the surgery.
G'Tom