In fact the opposite is true. If everyone gets coronavirus in a two week period, ICU is less overwhelmed for the rest of the year. A lot of susceptible people die, of course.

If you attempt to spread it out and succeed, you're at 100% capacity basically all of the time, plus 99% of people get to deal with the fact that coronavirus restrictions are utterly miserable.

Omicron has probably made all of this irrelevant anyway, it's so contagious that effectively everyone who goes outside is getting it this month. 1 in 15 in London right now and that's only the confirmed cases I believe.