We have long had laws against deranged people keeping and bearing arms. That must be counted as a reasonable limitation. It may be that we do too little, sometimes, to limit the gun rights of disturbed people; recent mass shootings have their common denominator in mental health issues. But there is a fine line there, open to abuse by the authorities. They may go too far in the other direction.
I do not think the following case is an instance of abuse, for the judgment seems reasonable, but it gives us a look into a grey area. Gun rights advocates are right, I think, to be concerned about a possible future in which nearly everyone is deemed a bit too strange, or minor peculiarities are used arbitrarily to abridge the gun rights of some.
The comments below the presentation are interesting because of their variety.