Granted.
Now, having said that, here is an assumption that we all tend to make, albeit without firm basis: the assumption that the code we've just written is “right.”
We trust our own experience, and let's face it, our own gut instinct.
Granted, that experience/instinct is by now very well-honed, and therefore trustworthy ... but there is still plenty of room for “a digital computer to do for us what a digital computer does best,” namely, to grind through an onerous procedure in just a few seconds.
So, yes. It is “just a tool.”
It is also, “a darn good one.”
We have no dispute there (nor anywhere).
It is a tool that, I now realize, I have not yet availed myself of to a sufficient degree.
I guess that the cobbler's children tend to have no shoes.