To use the calculator analogy, I think the concern is that the calculators sometimes return close but incorrect values, and now everyone learning arithmetic is

To use the calculator analogy, I think the concern is that the calculators sometimes return close but incorrect values, and now everyone learning arithmetic is just using the calculators instead of doing it by hand, and accepting those incorrect results as truth. The other side of this is that calculators are a much more powerful tool for someone who is already skilled in math, and those skills are best learned by actually doing problems by hand and thinking through them. So even if these tools end up being the de facto way to solve problems, we're still much better off training ourselves how to do things the hard way, and we do ourselves a disservice by skipping that step altogether. Which is a similar disservice we do ourselves by cheating in school. The difference is that someone who is dependent on the tool can get away with hiding their lack of skills for longer, and those lack of skills only show up in subtle but possibly critical ways.