My educated guess here is, that all problems which exist for the OP (or any person with a condition affecting vision) in the real world will at least transfer to AR/VR.
If 3D worked in Oculus & Co - as well as probably in the real world 🤓 - it will work with the Vision Pro.
As
@blweldon2 pointed already out, there seem to be additional input options to navigate AR/VR space in Vision Pro. Additionally - if the degree of your amblyopia does impact the eye tracking - you might be able to adapt to a personally way of using the provided tracking by momentarily closing your affected eye.
Though it might be that additional problems like sensibility to PWM in OLEDs arise - you suffer from this already e.g. when using a mobile?
————————————————— some more general comments below —————————————
Due to the fact that depth perception (a.k.a. “seeing in 3D”) depends on the binocular information input in primary visual cortex persons with amblyopia will have the same perception problems using the Vision Pro like they have in the real world.
A person with monocular vision will not be able to perceive depth in space (wether real world or AR/VR - there is no way to differentiate wether something is just small or far way. It’s very similar to a person with binocular vision moving constantly in an
Ames room.).
Similar visual acuity can be severely affected.
To what degree amblyopia will effect the coordinate in the Vision Pro space calculated from the eye tracking depends on several factors - e.g. Apple MIGHT (?) allow for assigning a dominant eye for the tracking, but then you still have the restrictions resulting from reduced (or missing) visual acuity as well as depth perception in persons affected by either of the conditions the OP is asking about.
Of course a 3rd party app tailored to a range of/or individual amblyopia symptoms might be able to help to improve quality of life in certain conditions.
The additional functions or tools visionOS provides to navigate in AR/VR are helpful and nice - but the do not help with excentric fixators, reduced (or missing) acuity, depth perception, strabismus, high ametropia and/or anisometropia, et cetera…
