I think you answered your own question.
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In Florida the drivers of vehicles are required to talk to the investigating police officer after the crash. The constitutional protection is not involved, because the statements that are required by the statute cannot be used civilly or criminally. In Florida we call this "the accident report privilege."
The refusal to speak to the police officer in this situation is itself a crime. You should not do that.
If the officer suspects that a crime is involved, such as driving under the influence, or reckless driving, the officer is supposed to notify you that a criminal investigation has begun. If the officer does not notify you of that, the accident privilege still applies and your answers cannot be used against you. However, if the officer does notify you that a criminal investigation has begun, you should consider your right to remain silent.
Usually, that right should be exercised. However, there are certainly situations in which speaking candidly to the officer might avoid an arrest. This is a matter of judgment.
This is a summary based on incomplete facts. You should not rely on it as legal advise.