1.1bar is around stage 1 BHP from a k03s.
The peak / inital spool up is what makes the torque band
strong. A 1.3bar peak can work out to around 225+lbft where 1.1bar peak would be 190-200lbft. You could have about the same amount of peak
bhp as the guys running 1.3bar boost peak, but you will have less of a kick down low and less average hp.
You need to speak to your tuner and find out what the map should peak to, 1.1bar is a very safe map and the peak boost might be bang on the money and you ca stop looking for the extra boost.

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But if they tell you it should be around 1.3bar peak, then you will need to carry out some logs of the boost / load control with VCDS to find out why your not hitting the target load / boost. If all the boost system is air tight then I would put my money on the wastegate / actuator, but the logs will show this for you.