In a hypothetical future where systemic racism and inequality are eradicated, all children could potentially have equal access to opportunities and privileges, resembling what is commonly associated with "white privilege" today.
If White privilege is based on societal advantages for white people. It's unlikely to disappear entirely because societal ideas about race can persist even if everyone looked the same. The goal is to create a society where race doesn't affect opportunity. We can work towards this by promoting diversity and equal treatment.