Not exactly no. It also has an anonymous function where you can use an account from a larger pool provided by aurora. It loads these dynamically from a pool hosted on their servers. The only issue is that Google tends to rate limit them.
I don't know why it says that there but it definitely has this function. Perhaps they don't want to draw too much attention to it due to its unreliability and resulting support issues. There have been periods of a couple of weeks where it didn't work at all due to Google blocking these accounts but lately they have backed down.
But technically it's not really without a Google account. Aurora just has a batch of common accounts it assigns randomly when you log in with the "anonymous" option.
