This is an unnecessary invasion of privacy that many players, myself included, find to be absolutely appalling. It is no one's business by my own how much time I play my video games, and especially in a global society where gaming is often considered synonymous with "time wasting" and carries a bit of a stigma, it can have unintended social impact even among friends, or griefing/trolling between strangers.
I personally don't mind if there's still a graph showing the *relative* time played for each class, but certainly having a viewable time in days/hours/minutes is disrespectful to the privacy of the users. Some might say that even a relative graph of different characters is treading the line of privacy violation.
Note: This is viewable by *anyone* and is not limited to RealID/BattleTag friends. Just right click on someone's name in General Chat, for example. Even if it were limited to "people you choose to friend", it would still be a terrible idea that also continues to discourage making friends in what should be a social game.
While I'm addressing privacy, though, I may as well hit the big one:
By default, battle.net accounts have enabled the "Show my Real ID on Friends of Friends lists" option. Most players do not even know that this setting exists, as it's tucked away 3 layers deep in the Account page. This feature, BY DEFAULT, shares your FULL name with anyone who is so much as friends with any of your friends. People who have no business knowing or seeing your full name...people who you very likely do not know.
The fact that this setting is default is absolutely mindblowing. This is a*terrible* disrespect for customer privacy. Especially in an environment where many of your customers might be children who do not even understand what it means to be privacy/security aware. Please fix this.
The main purpose for this ticket is the former issue, I just figured I'd expand upon it with the latter while I was here. It genuinely concerns me that Blizzard shows such disrespect for their user's privacy and is constantly "publishing" information that is personal.