You think computer versus tables is more analogous to car-with-auto versus car-with-stick? Auto vs stick seems like Rec PDC versus Tech PDC (in Tech mode).
Riding a motorcycle is a totally different skillset to accomplish the same end as driving a car (i.e. getting from A to B). Using tables is a totally different skillset to accomplish the same end as using a PDC (i.e. diving without exceeding NDLs).
I don't see any reason whatsoever to require people to demonstrate proficiency in operating a motorcycle in order to be licensed to drive a car.
I also don't see any reason to require people to demonstrate proficiency in dive using tables in order to be able to do Recreational diving using a PDC. If they follow their training, the worst thing that will happen is that they will miss out on some diving when their computer croaks and they don't have a backup. And if they don't follow their training, it doesn't really matter what tool they were using. If they aren't going to pay attention to their computer and ascend when it tells them, surely you don't think they will carry a note of (or remember) what their NDL time is and then pay attention to that and a bottom timer, do you?
While I am definitely in the using a computer camp I think it is useful if people understand what the computer is doing. On the other hand we want diving to be accessible to people that can't do calculus at all let alone in their head while narc'd.
Really the goal should be that people know enough to notice they did the planning in feet rather metres or vice versa. Of course if divers don't plan then it doesn't matter if they didn't plan with tables or a did't plan with a computer.