This doesn't sound like something you need to be concerned about. You referred to your child as 'very active' which I will assume means that there are no obvious developmental delays or gait issues. Using ankle support will not have negative consequences if they are not in them all day, every day (outside of the times they are playing sports) - that would be detrimental to development in a child who is otherwise meeting all developmental milestones naturally.

Unless there is a diagnosed problem that you have been told about and specifically told your child should wear orthotics, the most important times to consider ankle support are if they have had a previous ankle injury, or when playing sports that require a lot of pivoting such as basketball because of how common it is to sprain ankles in this sport.