Addendum, in case somebody in Europe might be interested in an IBKR account, thinking he can save Bank or Wise fees for money transfers no matter to which destination: Another phone call to IBKR (Australia this time) and 50min hold and I finally got definite confirmation that European customers can only transfer USD, CAD, European currencies or Israeli Shekel. In the future it might be possible to transfer other currencies too, but currently not. So International Brokers is not as international as one might think.

(My NZD therefore have to be converted back into USD, transferred to Wise, and from there for 0.48% fee to New Zealand. Thank you IBKR for having lost another 0.3% during the days passed until I finally was able to get that confirmed.)