You will need to refine your question. "Migraine like central vision" is not a term we ophthalmologist use. Migraine is a syndrome in which headache is the most common symptoms but eye migraines have blanked/blurred/geometric patterns that blur out some of the vision but eventually go away. they are not always there. If you mean you always have a small blur spot in the exact center of your vision in your right eye that is not amblyopia. It would indicate a small macular abnormality that might only show up on a macular OCT. Do an Amsler Grid on yourself and then post what you see.
How do people with amblyopia see with the affected eye? I can only speak from personal experience, but for me, as a lifelong amblyope, it's exactly what it says on the tin - a lazy eye, with the brain largely suppressing the signal. It's like the kind of vision you get out of the corner of your eye, except the whole eye sees like that. Migraine-like symptoms are not a part of it.