If the wealth "in play" is merely a trust fund large enough so that the applicant can live modestly without ever working, they won't care. (And any "I don't need to work" argument would be a huge red flag.) Similarly - I cannot give my grand-niece a 7X boost on getting into Harvard by donating $1,000 to Harvard.
Vs...if I was a billionaire, and ask a Harvard Development Officer about my grand-niece getting admitted to Harvard, then I could get her far more than a 7X boost.
For one, they aren't involved in admissions at all.
Their goal is to make long term relationships so that both sides, the donors and the university get something out of it. Not to judge people based on where their money or connections come from.
Development people have influence, and definitely want future financial success stories moving smoothly through their university's admissions pipeline.
Depending on how big the trust fund is, I think you'll find it will open more doors than a summer lawncare initiative.
that'd be a good argument too. why go to college if you have income security? go do something infinitely more interesting and fulfilling