Only a tiny fraction of folks, the ones who are intelligent and thoughtful, are going to think "an institution financed by a donation or legacy to aid research..." The rest are going to think "So they invented/operate Bitcoin."
So the foundation are going to talk to people ad nauseum: "No, we didn't invent bitcoin. We just help support and promote bitcoin."
He, if they didn't want to mislead people into believing they have some sort of authority over Bitcoin, they would not have chosen such name for a start. It would be named something like "Bitcoin Development Group", or "Bitcoin Supporters Club", or even "Andresen Foudation", if you will.