Exemplary damages is the Australian legal term of art for damages that are functionally identical to punitive damages.

Well you have to dumb it down for the Americans.

The nature of the business though is that they're almost never awarded, except maybe for contempt of court?

Certainly not in a significant quantity against a corporation.

Commonwealth bank was recently fined $700m

https://www.google.com/amp/s/amp.abc.net.au/article/9831064

it’s different terminology. no need to baselessly insult americans

They are awarded in a certain sets of circumstances. Contempt of court is far from the only example

substantial sums exemplary damages are certainly capable of being awarded against a corporation on the right set of facts