Names everywhere could just as easily mean a culture that celebrates wealth and the wealthy as superior to others, because after all, their names are everywhere. A happenstance donation by a rich person in this society may mean far more than a significant donation by someone less well off. This may create a culture where people see helping others as a suckers game unless you get something back, rather than a moral obligation.
On the other hand, a culture of anonymous donations (and less wealth signaling) could indicate a culture where everyone, no matter how rich or poor, is expected to do their part to help others.
It depends a lot on what people's takeaways are from these acts, which are shaped by cultural expectations and norms. One should consider the cultural externalities of donations in addition to purely the dollar amounts.