Except that with your second example the hospital isn't going to admit the patient for simply "feeling lousy". So, no, the assertion that this is how that stat has become inflated is not the actual cause.
It seems like you don't have any actual knowledge of how healthcare works in the real world and are just making things up.
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...