I am also in this boat. The jab-rejecters' behaviour is often called "reckless" for stressing the hospital system. But we see reckless behavior outside of vaccines too: drunk driving, general violence, daredevil stunts and extreme sports. All these things can lead to hospitalization, but we "tolerate" treatment of these cases in hospitalization.

I don't think any anti-vaxxer expects to end up hospitalized, just as nobody driving drunk expects to go and kill somebody with their car.