I don't think that the Circling Approach criteria necessarily apply. It is normally assumed you are flying an approach to one runway to land on another, invariably at a different alignment. The case here is simply jinking slightly to complete a visual landing on a parallel runway. The mind boggles where you can have 4 parallel runways, and you insist on being a plonker and fly the missed approach for the runway 3 away from the one you are actually landing on! LAX would be talking about it for years! The ATC Tower would all be taking early retirement! Time to let common sense rule!
It should be noted on those types where FMS-entered landing runway tunes in the appropriate ILS, then unless this is changed, you are likely to get some bizarre ILS indications and warnings by not landing on that runway. This would lead to flight recorder events that would have to be explained.