Your analogy is not really apples to apples though, is it?
More close is: if there was a table making machine, you just push a button and something like a table comes out, would you still be a woodworker? You haven't planed, nor measured, nor cut, nor jointed, you've only pressed on "make me a table"
And I wouldn't claim I was a woodworker. But I might be a "furniture designer", if I can adjust the parameters of what kind of table it plops out.