If they're talking like the person that was described was talking, I absolutely would take away from their success, especially because they've never had to worry about any of the stuff that someone who doesn't come from means has to worry about.
Don't get me wrong; finding success is hard, and whenever someone does find it, it should be celebrated. But those that do find it shouldn't discount the struggles of those who aren't able to try, especially if it takes them several tried to find it themselves.