You can, but the question is how is this split? What is the formula to measure it?
For example, my cousin does financial aid for a set of private high schools. There is a group that fights the use of wealth measures when determining need. It is typically upper middle class people who don’t want things like their real estate or investment portfolio to be a part of the equation.
The absolute richest oddly do tend to support these measures. I suspect in part because tuition isn’t a big deal to them anyways.