It's not a real speculation thread until someone responds "Who cares? I just want a good story".Who cares? I just want interesting characters that I can be happy about when they succeed and sad about when they fail. The technology should work in service of the story and not the focus of the story.

Personally I think the core idea of what th TOS computer did is fine. Obviously there would be need to be some prettying significant changes on the aesthetic level and possibly some changes to its capability but I think the ships computer from TOS holds up pretty well despite some idiosyncrasies.