I had a standard lazy eye that corrective surgery buggered up no end and it became an aesthetical nightmare of an external squint, which I lived with and was mocked and bully for for almost 30 years not that I have issues with it or anything as I was told there was nothing more they could do.
I decided, on a whim, about 16 months ago, to see if there was anything that could be done after all these years as I feared it was turning the corner. I was referred to a local ophthalmologist who operated and managed to get it almost straight!
It was supposedly only going to effect my vision as they said my brain would be too trained to change now, but actually my hand eye co-ordination is massively improved. I actually whinged the other day that I'd quite like my childhood back please, as I can hit and catch a ball now!
So yes - I wouldn't say this has to be your lot - go see someone.
You don't need a BO, you need an optician who knows what they are doing with binocular vision disorders, and get yourself some prisms in your glasses. That will take the effort out of maintaining single vision for you.
I had a severe, unstable squint, 2 surgeries, and still have a lot of squint, but the prisms control it perfectly