They claim that they anonymize your data. For example Google Analytics data should be anonymized (i.e. they don't link the traffic to your Google account name o

They claim that they anonymize your data. For example Google Analytics data should be anonymized (i.e. they don't link the traffic to your Google account name or some cookie ID, but they do store your IP). If this is true, it means that they can't send anything like logs of your visited sites to you, because they can't link your identity to the correct IP addresses.