They do not have to be limited to the offerings of the government school. In a home schooling situation a child can learn all kinds of academic subjects that would not be offered in government school. Government schools do not offer a class if only one or two students show interest in it. Home schools do. Government schools do not generally offer a variety of vocational apprenticeship programs.
Home school can do so if that is the child's area of interest.
In government school, once a course is started it must be finished. In home school, if something turns out not to be of sufficient interest, the focus can be changed to something else. During my years in government school, I was rarely challenged intellectually. The teachers could not risk losing the slower or average students by going at a pace that would challenge the brighter students. Therefore, the brighter students could get excellent grades with little or no effort.