aclark- I agree with you that the Certificate holder is responsible for his/her calculations and they must be verified and controlled in a manner acceptable to the AI.
However,your point of view requiring manual calculations in all cases is out of date. Further,all of the Joint Reviews including Nuclear I have participated in for the last 5 years,manual calculations have not been mandated. Most manufacturers would fight having this in their QC Manual.
Does the Certificate holder need to verify? Yes. Can the local jurisdiction require it? Yes. Does it need to be performed to the satisfaction of the AI? Yes.
The Code is gradually addressing more and more electronic
data. There are some good programs out there and it should not be required to redo acceptable work if all the requirements are met in any manner.