Is your contention that JJTrek is breaking it's own rules, or breaking Past Trek Rules?
If Past Trek, which Warp Scale are you going by? TOS, where they could leave the Galaxy or get to the middle of the Galaxy in days or hours or Voayger, where it took 75 years to get from the far end of The Delta Quadrant to Earth, or somewhere in between like in TNG?
TOS was too experimental, so I pretty much dismiss any rules that era established. The 24th century is when Star Trek became a consistent universe, so I suppose I'm going with the Warp Scale established in TNG.
Although, now that I'm thinking more about this, that's not fair. This is a reboot with a new creative team, so they should feel free to establish new rules for themselves and retcon existing rules that don't work for them. I'm just so used to Star Trek that it feels wrong to have Federation starships that can travel that fast, but in reality there is nothing wrong with it. It's a valid creative choice.
So yeah, that completely obliterates my argument.