"Logs, seized equipment, and testimony from those arrested, seems to be the undoing for those connected to Anonymous and LulzSec. ...According to HideMyAss.com, ...services such as ours do not exist to hide people from illegal activity. We will cooperate with law enforcement agencies if it has become evident that your account has been used for illegal activities
The service stores logs for 30-days when it comes to Website proxy services, and they store the connecting IP address, as well as time stamps for those using the VPN offerings."
Furthermore - if you're using a VPN service to stay anonymous, you're only staying anonymous from whatever you're accessing, not the VPN service itself.
In another comment a quote from a different article was mentioned regarding the Terms of Service. I could not find a page about the terms of service. Maybe it's me, but I think that these informations should be easy to find on a site.
Some other interesting points about this service are explored in an article by rsnake from ha.ckers.org:
http://ha.ckers.org/blog/20100104/anonymous-proxy-woes/
"So yeah, please don’t use CGI proxies, unless you really know what you’re doing. They really very rarely increase your security. Most of the time, they just decrease it, as a matter of fact."