Hello and thanks for your question.
Sometimes people who have strabismus surgery can see a regression in the effects of the surgery. This can happen anywhere from a few months after to many years after and that is not uncommon. If you have a second surgery and it is successful initially, but then you find you need more correction in the future, it is usually possible to do surgery a third time to correct it.
Most of the time myopia is not specifically connected to strabismus. Just because you have significant myopia doesn't mean that this causes strabismus; the two are usually unrelated. Hyperopia (or farsightedness) is a different story--it is many times associated with strabismus.
I think it is certainly within reason to seek a different opinion and possibly a different surgeon for the next surgery; second opinions give you a difference of opinion and will help you to feel more comfortable with whatever option you seek and there's really no risk in doing it outside of the expense.
Yes, laser surgery can often times correct the myopia, but then, as I alluded to before, I still don't think that doing this would have a significant effect on the strabismus.
Does that help address your concerns?
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My opinion is solely informative and does not constitute a formal medical opinion or recommendation. For a formal medical opinion and/or recommendation you must be examined by your doctor.