The reason the “government have other objectives” of rapid vaccination is that they are opposed to making economic changes that would empower the people to wipe out covid-19 by the entirely natural method of social compartmentalisation for two months.
The government gives money to some businesses to prevent them from going bankrupt while they can’t do business, and the businesses pass some of that on to their employees. Instead, the government should suspend fixed costs such as rent and interest ie. unearned income, and give money directly to the people to spend as they wish. Employers would then be under enormous pressure to arrange working environments where infection cannot pass, or they’d be unable to get staff. The bad employers would be unable to do business, so they’d either change or be out-competed.