Rediculous. Google Analytics should be used by every webmaster in every industry. It provides the most accurate, deepest information available. For Free! If you live your online life worrying about Google “getting” you, then you are probably doing something worthy of being “got”.
True story…I recently consulted with a potential client (non-gambling) who was ready to sell their website since they were getting 30,000 people to their site per month. They were looking at their hit data provided by their ISP, but they also had Google Analytics installed 2 months ago, and the real traffic data showed about 1000 visitors per month. Hits don’t equal people traffic, not even close.
So yes, use Google Analytics without fear. Google is more interested in helping you than hurting you. You should be utilizing their webmaster tools for that matter as well.