Probably not. The article says 200 million a day (in 2011), which seems like a huge amount, but the volume of text messages in the US alone was 2.3 trillion in 2011 [1] (I'm using US numbers since I don't know where you're from). If you operate under the assumption that they're only collecting Americans' text messages, that means they would be collecting 3% of text messages if I did my math correctly. I'm assuming the global text messaging numbers are significantly higher.
[1] http://www.marketingcharts.com/wp/topics/wireless/us-text-me...
[EDIT: corrected my math - thank you kuusisto]