No one expect you to share your personal details publicly, what you need to provide is the evidences for your allegation against the mentioned casino.
You can simply provide the chat transcription to prove that your claim is real, the chat that shows the statement from them ban your account with the mentioned reason.
It is always appreciated if there is someone who want to give a warning, but it should be done in the best way by providing solid evidences.
They have official ANN thread in this forum so maybe you can bring your issue there, maybe they will come to clarify because they have good reputation here so there is a chance to have a better solution for your issue.