Point is doctors are not robots, they enjoy a significant amount of autonomy, and I still believe that all other things being equal, many doctors are more likely to admit an unvaxxed Covid-positive patient than a vaxxed Covid-positive, because they believe that the unvaxxed patient has a higher risk of more serious symptoms.

So you have a belief, but no actual data or even anecdotes to back it up.

Nearly half of Omicron admissions released a day later. Did they magically recover overnight, or were they admitted with mild symptoms in the first place, just as a precautionary measure?

Early data from France suggests omicron patients leave hospital far more quickly - including 43 per cent in less than a day

https://www.telegraph.co.uk/global-health/science-and-diseas...

(at Kaiser Permanente Southern California) Among 154 Omicron variant-infected patients who completed hospitalization by January 1, 2022, 129 (83.8%) were discharged in ≤2 days

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