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No, this isn't being falsely accused of a crime. They mark it as a refusal because they couldn't get results from you, but you can fight the refusal and probably even prevail on the facts that you mentioned with proof of recent chest surgery.
You need to get yourself a criminal lawyer and request a refusal hearing to challenge the refusal and the revocation of your license due to that refusal. Here's more information on that process. If you don't separately challenge the refusal by asking for an administrative hearing, that's a suspension of your license that will hold up even if you manage to win the case itself in criminal court.