Investing the effort to 1) recognize, without programmer intervention, that some random website has an API and then 2) automatically, without further programmer intervention, retrieve the website data from that API and make intelligent use of it, is just not worth it to them when retrieving the HTML just works every time.
edit: corrected inverted ratio
Also I wonder if the ToS covers "queries & interaction" vs "uploaded data" - I could imagine some tricky language in there that says we wont use your word document, but we may at some time use the queries you put against it, not as raw corpus but as a second layer examining what tools/workflows to expand/exploit.
There’s a range of ways to lie by omission, here, and the major players have established a reputation for being willing to take an expansive view of their legal rights.