Yes, in an ideal world you certainly would want to test as much as you could after a major event like that. It would probably come down to an assessment of the relative risks introduced by shutting down power to the loads versus the risk of potential damage to the second busbar.
In the UK dual busbar systems are very common in our transmission substations. Fifty / sixty years ago they were also common in power plants and the like for critical distribution, but today minimising capital cost has a higher priority than long term operability and maintainability and they are much less commonly seen. Improved switchgear reliability probably plays a part in that too, although I think we may soon be seeing a decrease in long-term reliability as a result of manufacturers designing out every last gram of non-essential material to the point where there is absolutely no margin left for wear & tear, operational degradation, or anything of that sort. Modern equipment seems to have far too many failures for which there is no excuse other than bare-minimum level of design and manufacture.