"Parallels" simply introduced us to the idea that there are other worlds/universes out extremely similar to ours but where things have turned out slightly differently.
Yep, Each one perhaps created by someone's time traveling "sliding door" moment. Such as Nero destroying the Kelvin.
"Parallels" never suggests that and the multiverse theory at its most basic revolves around the postulation that because the universe is infinite then there must be other versions of our universe which are similar but things have turned out differently in them.
Are you seeing the difference yet? Or are you going to stubbornly stick to the idea that Trek '09 was using the exact same concept of Trek '09 just so you can enjoy the movie better? When it comes down to it, Uhura's throwaway line about "parallel universes" was just a convenience so as to not annoy fans, but it really doesn't relate to how the situation was handled before in Trek.