Absolutely. But that's still a trade off (between using a tool that might be better in some other sense, but then you might not have time to add ARIA tags, or reshape the markup a bit). And usually it's not an explicit requirement. So it's up to the developer/team.

And I agree with doing the minimum. There was a great site that shows sites as they "look" like to a screen reader, but I can't find it now. (But it was very much like WAVE http://wave.webaim.org )