No - because the private school is not giving need aid.
I think it’s the type of aid that impacts this.
Merit aid is just them discounting the price to get a butt in seat. So they will not care that you have extra money. Need is different. If you get extra money, then your need is less than determined without the extra which is why they pull back.
It’s we know someone with her stats is not coming for $80k so we made it $50k to entice them.
If budget is your priority, it’s easy to build a sensible list - and hoping for private scholarships, most of which have a need component, isn’t it.
Many of us are full pay families that self imposed a budget.
It’s not hard to make that work.
But it requires openness.
But you don’t need to find private scholarships. You need to find them with no need component. That’s ratcheting up the difficulty five fold. Personally short of my employer and a quick local search on google, I wouldn’t waste the time.