Hard to say right now. Hospitals in my state have just activated emergency protocols, because our surge is already exceeding Winter-2020 levels. This means that 20% of surgeries are going to be cancelled, and other such care is going to be officially rationed off. (BTW: We're at 90% adults vaccinated, but "70% to 80%" of the hospitalizations are unvaccinated individuals).
EDIT: To be clear: individual hospitals declare emergencies. Its not a state-wide declaration. Hospitals have begun to declare emergencies and activate hospital-specific rationing.
Omicron has been a bitch so far. It seems like it is causing hospitalizations in the unvaccinated population, maybe not at the same "rate" as Delta, but in high enough numbers that we're going to run out of hospital beds in my area.
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Elsewhere in the country... Florida's 300% rise in cases this past week has demonstrated that natural-immunity from Alpha/Delta was completely worthless vs Omicron.
Florida is well on its way to having a worse surge than it ever had before. It doesn't seem like we can natural-immunity our ways out of this.