"What about their input and output is" => "what type their input/output is"

The next question is what does the type of the input/output actually tell you about the input/output? In the most popular languages (using interfaces), it basically tells you that the input/output might have a, b and c set (or they might be null), and it could also have anything else set.

So the actual information you have is that you might or might not have (a,b,c) and also might or might not have (anything). Not as foolproof as you think. The natural objection is that aha! I defined this class to require (a,b,c) in the constructor and do a nullity check, so I know much more than this! But this is back to having "types in your head", that constructor signature and nullity check isn't compiler enforced (as in if you change it, nothing will fail in the typesystem at the point of the function that we're checking, as long as those fields remain on the class). So the useful part of the static typing is actually living in your head either way.