@batman hello, as far as i know, dependant who are below 18 included in your student visa is not considered as international student. One of the visa condition kasi is 8517, which is to maintain education for dependants that is from 5 years of age. Yes, allowed naman to enroll in any school but take note that temporary residents are charged higher in government school.
Schools that do not ask proof of fund normally are those who charged high tuition fees and they are classified as level 1 on the list.