I believe the cruze limited has the same engine as the previous generation turbos, and if that's the case I can provide some feedback on mine.
I noticed the car sort of bogging or struggling if Im at round 2000 or 2200 this was very noticeable when I was running 87 octane, I switched to shell 93 octane, and after noticed a pretty significant change in engine behavior, sometimes it still sounds like it is bogging or has rough piston slap so I just downshift to get higher into the rev range. But I am getting better economy, the timing advance according to my ultra-gauge is better, and it feels slightly more powerful with low end torque.