Conclusion: you cannot contain the viral spread of omicron by boosting.
The moment we see that, the policy conclusions start to fall into place.
Booster mandates make no sense for young people/ working people/ hospitals/ anywhere. Young people will only be, at best, slightly less likely to spread for a short period of time, but the epidemic waves will eventually over take them. Boosting should happen in populations where it further reduces severe disease and death— aka older & vulnerable people. Focus on that and let college kids off the hook.
Some argue there is still a justification to boost because you can help prevent hospitals from being overwhelmed. Sadly, that argument fails in several ways. First, you have no evidence boosting younger people will slow hospitalizations. A vaccinated younger person already has very low risk of being hospitalized. Boosting may not further lower what is already very low. We simply have no evidence. Event rates are sparse at those ages.
Second, this argument would mean the state could tell people what to eat and how much to exercise, and how much to drink. Food, drink and obesity are drivers of hospitalizations. Instead, we have not accepted these infringements in the past. The justification for vaccine mandates is that it helps curb population spread. The latest vaccine effectiveness figures show that effect is now nearly gone, and transient at best. Ergo, the mandates are unjustified.