The scenario in the OP is a little strange to me. If I was aware there was a crime going on, I'd report it right then. When the police came to me they'd likely already know who I was because of my report, and I'd be glad to answer any related questions that they had.
I don't know why anybody would tell the police nothing. Unless the police were being total assholes (which I've never seen happen when they're gathering information after an actual crime has occurred) there is no reason to stay quiet.
Unfortunately there are many instances when the police might be questioning people before they fully understand what's going on. In those cases most police are rude and intrusive, presumably because you're a potential criminal and they just don't care to be friendly. It's too bad that those situations exist, but they do. I don't cooperate in any way if police are out of line and don't care to listen to reason.
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