Are the international travel health certificate and international travel vaccination certificate useful when entering or leaving the country? If not, will you not be allowed to go abroad?

These two things can't be said to be useless at all, but they are useless to 99.9% people.

There is no medical examination requirement for immigrants in the United States, which means it is impossible to enter the United States without a medical examination.

However, there are regulations in China that 0. 1% of people will have their health certificates randomly checked when they return to China (the official statement says so). If you don't have a valid health certificate within one year, you need to go to the local entry-exit immunization department for a physical examination on the day of entry before you can approve normal entry. In addition, one-thousandth of the candidates are generally people who have returned from epidemic areas.