An interesting topic.
I, as a BA 744 driver, go to SFO fairly often and have seen most approaches. SFO has been one of the most problematic destinations in recent years for the fleet due to ATC expecting or requesting us to perform in a similar way to a 737/CRJ. It just can't be done so high energy approaches are more frequent.
Back to the original point, I have been on a parallel approach with an EVA 744, the most incredible experience I have had during my time on 744. We touched down within a few seconds, just wish someone had got the photo!
For the record, we often accept visual approaches, I'm not aware of any restriction. We do, however, request a 10 mile final. Most approaches in US finish up being visual approaches - just the nature of the beast!