These ToS clauses protect their paid iPhone app from being replicated in the browser, which is pretty much exactly what you did. So it is effectively you who didn't get it :)
Which gets to the root of the Wolfram's real issue with it: If you go to wolframalpha.com on an iOS device, you are shown an ad for their $1.99 app (which you can ignore and continue to the mobile version of their site).
If you go straight to a query, it bypasses this.
The O.P.'s app bypasses their ad, and Wolfram doesn't like that.
If you go straight to a query, it bypasses this.
The O.P.'s app bypasses their ad, and Wolfram doesn't like that.