Those saying “live with it” argue for a removal of NPIs leading to even higher caseloads. If improvement per case is only 2-3x at most then if you go 2-3x past prior peaks the absolute problem is as bad.
I checked the Uk and got 2-3x depending on metric (icu 2x better, hospital and death, 3x)
Denmark is .5-2x better on these metrics from prior peak.
Germany 3x better on deaths (checking prior case peak, December 21st 2020)
Can you find a country which does not have this pattern, where they are actually 10-20x better for a given caseload?
If not, I posit the pattern holds and that this method has some use in predicting future results at a given caseload in a country at European average levels of vaccination, without boosters.
What do you mean by 4x: relative severe disease protection? That would be 75% efficacy, a marked drop from 95% efficacy (20x protection). I think most of the west still has higher severe disease efficacy than that, though Israel fell as low as 80% pre booster.