Theorically, the higher the CC, the more power and torque it produces. Since this is a turbo car, the bigger the CC, the less inertia spin time to spin a turbo up to optimal speed. So in other words, you may use a bigger turbo with less turbo lag if your CC is bigger.
Just a simple and straight forward example to describe my explanation. These are not real data.
> stock 2.0 - TD04 - lag 0.5 secs
> stock 2.0 - TD05 - lag 1.0 secs
> 2.2 L - TD05 - lag 0.5 secs
> 2.2 L - TD06 - lag 1.0 secs
> 2.3 L - TD06 - lag 0.5 secs
Additionally, always remember that bigger CC doesn't mean higher fuel consumption. Sometimes, lower CC car drinks MORE than higher CC cars. A typical 4 door sedan with 1.8L engines are usually better in fuel consumption as compared to 1.6L. A lot of factor to consider eg. weight, gearbox efficiency (auto-lag time) and many more.