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Perhaps you could take a closer look at a 'unique word list' of your competitor's site(s) and then match that witha 'unique word list' from your page(s) and then try spotting the language that you have which they lack?
That would take some time & analysis, but it would be a bit better than idle speculation about their filtering mechanisms, perhaps.
Though hopefully, another member has an idea for a method which will work & be quick.
Thanks for the helpful responses everyone!
Perhaps someone else knows whether ATW has performed an update of their index?
<updated>I actually just found some answers to my questions in the "ATW Updates" thread </updated>