Fedor, most people in ophthalmology stay away from neuro-opht because it is not a surgical subspecialty and is the least lucrative of all ophtho subspecialties. People who do another fellowship on top of neuro-oph, like pediatric ophthalmology or oculoplastics often stop seeing neuro-opht cases altogether. Why neuro-opht is not popular with neurology trainees may be because they do not feel as comfortable with many aspects of the examination. I know a neurologist who completed a N-O fellowship but stopped seeing neuro-oph patients 4-5 years into his practice because he simply did not feel comfortable enough with his fundus exams and he found that for the most part he had to rely on the referring ophthalmologists's assessment for that. I should mention that his fellowship supervisor had a neurology background.
As a result, most N-O fellows I have met at meetings over the years have been IMG's with plans to return to their country after their fellowship.
I always felt that an ophthalmologist going into a N-O fellowship should try to train with a neurologist and vice versa to have both bases covered well. There are enough people of both backgrounds in the field in the US to allow trainees to pick and choose as they wish.