Yes-
ish.
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.