Omicron is just as deadly? That's not accurate:

https://www.medrxiv.org/content/10.1101/2022.01.11.22269045v1

From Kaiser SoCal, looking at 52k cases of omicron vs 17k delta they found a much lower hospitalization rate and (let me quote them):

"Zero cases with Omicron variant infection received mechanical ventilation, as compared to 11 cases with Delta variant infections throughout the period of follow-up (two-sided p<0.001).

"Median duration of hospital stay was 3.4 (2.8-4.1) days shorter for hospitalized cases with Omicron variant infections as compared to hospitalized patients with Delta variant infections, reflecting a 69.6% (64.0-74.5%) reduction in hospital length of stay.

"Conclusions During a period with mixed Delta and Omicron variant circulation, SARS-CoV-2 infections with presumed Omicron variant infection were associated with substantially reduced risk of severe clinical endpoints and shorter durations of hospital stay.

Long haul omicron? There's no long yet so hard to tell. It would make sense that long-haul is a function of the severity of the disease but that's not a given.