The Associated Press (AP) has printed the following story, where the boldfaced "to" is used:
PARIS (AP) — A man seemingly disguised as an old woman in a wheelchair threw a piece of cake at the glass protecting the Mona Lisa at the Louvre Museum and shouted at people to think of planet Earth...
The man, whose identity was unknown, was also seen throwing roses in the museum gallery to slack-jawed guests.
However, on the Twitter page of an eyewitness to the incident, the preposition "at" is used in the caption:
A picture of him captured throwing roses at me.
I thought the distinction between "throw something to someone" and "throw something at someone" is clear cut, but why do the above sources not agree with each other? Is either of them in the wrong?