It will do what you tell it within extremely liberal parameters.
Sure, you can bank 67 degrees in an Airbus in normal law, as well as you can in a 737, but I'll bet there's a good chance the pilot of a 737 is going to screw it up and overbank it. The computers don't decide if it will honor your request, the flight control computers decide how it's going to honor your requests up to a certain limit.
And if certain things are broken which necessitate extreme maneuvering, chances are you're in alternate law without those protections anyway.
I've been flying some flavor of bus for the past 12 years (330/320/350) and I've never been in a situation where I thought, "Damn, I wish I had cables, pulleys and bellcranks"