Not exactly, from what I understand (I'm not a lawyer - happy to be corrected!)
The defendant (accused) gets the chance to make formal offer of payment to settle through the court.
If the person complaining chooses to turn down that offer, then the amount offered is a benchmark for the judge's decision.
If the complainant wins they get awarded damages.
But if the damages awarded by the judge are less than the amount in the formal offer, the complainant has to pay the defendant's legal costs (on the grounds they should have accepted the defendant's offer and have wasted court time).
Which is why a couple of the people in the Mirror case with Harry look as if they will end up, owing Mirror Group even though they were found to have been hacked by Mirror.
The damages awarded by the judge are less than the offer they turned down from Mirror Group, so they are liable for the Mirror Group legal costs of going to court.
They will get the damages, but the legal costs are higher than the damages.