I always said that I couldn't imagine anyone doing anything with those old forms. Imagine how much work it would be if someone actually had to input all that information into a computer or worse if they were all filed in some enormous store. Now all the work is done by the traveller, which is much more efficient for the government.
I could be mistaken, but I always thought the purpose of the form was only to have something to show the customs on arrival/departure for items that are not allowed or must be declared. Years back when I used to pass through MIA, I had to complete the ESTA thing and paper forms aside from this and these were only to show the customs in the US that I'm not bringing in anything I should not. When I entered the US, the migration people (in MIA) always advised to me to hold on to the certain papers until my departure/onward travel like my life depended on them. That's what I did then...
So other than statistics perhaps, I have never thought that the info collected would be actually used somehow afterwards, of even be useful. Granted, if you have something to declare and don't declare it, the form has your supposed address in the DR, so the customs could potentially pay you a visit but I don't see that happening...
Again, someone may know otherwise, but if my theory above is right, then entering the data into any system would not even be necessary if paper forms would be used...