Just so you know, under that logic you should also boycott AOL, New Line Cinema, Time Inc., HBO, Turner Broadcasting System, The CW Television Network, TheWB.com, UBU Productions, Warner Bros. Entertainment, Kids' WB, The CW4Kids, Cartoon Network, CNN, DC Comics, and Mohawk Productions (according to Wikipedia).
Not there's anything wrong with that if you choose to do so, but personally, I'd just stick with avoiding all services directly related to Time Warner.