Actually no. New Zealand had the luxury of being an isolated island. They managed to keep delta (and older variants) out. In EU and US omicron has more cases than delta (showing poor delta induced immunity) but less deaths even considering higher case numbers.
https://ourworldindata.org/explorer...sitivity=false&country=NZL~USA~European+Union
Every country which had delta, saw omicron as a relief.
You leave out the effect of vaccinations in your calculations. Delta arrived more or less pre-vaxx (or only partly vaxxed).
In the Nordics, we didn't have fewer deaths. On the contrary, we saw a drastic rise in the death toll due to a rising number of infections.
The reason was, as I have mentioned already, that Omicron was more contagious - in spite of vaccinations and boosters:
Cumulative confirmed COVID-19 deaths per million people, Dec 2021 to Nov 2022.
In the first year after the arrival of Omicron, the death roll rose considerably in all countries. We an extreme increase in the number of deaths in:
Denmark: x 2,5 (495 --> 1,430)
Norway: almost x 4 (213 --> 824)
Finland: more than x 5 (270--> 1,430)
Iceland: x 6,5 (100 --> 640)
And this was in spite of the vast majority of adults being
well-vaxxed (and then
boosted in November and December), which we hadn't been in the (Delta) summer of 2021.
Does it look mild to you?! As I said, the transmissibility sometimes more than makes up for virulence, and in the winter of 2021-22, the Nordic countries went for the fabled hybrid immunity or 'super immunity': vaxx + infection. The latter, i.e. infection, was very easy to achieve since Omicron was as infectious as it was even after three jabs of Pfizer or Moderna.
There was no doubling, quadrupling or worse in Sweden, which had been hit much harder than the other Nordics in their attempt to achieve herd immunity by infection, but they still had a considerable increase in the number of deaths by Covid-19:
Sweden: 1,437 --> 2,008 - considering both vax + immunity acquired by earlier infection.
ETA: Cuba, of course, was almost unvaccinated when Delta arrived, but fared much better with Omicron. Not because it was mild, which it isn't, but because the whole population, including children, had then been vaccinated. Singapore had been vaccinated prior to Delta, and also vaccinated even very young children:
Cumulative confirmed COVID-19 deaths per million people: Nordics + Cuba + Singapore, Dec 2021 to Nov 2022.