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So, you won't get banned as long as you're a legitimate player on a real winning streak. That said, casinos do need to protect themselves. So, if they suspect that a consistent winning streak is due to something like card counting or even cheating, they may ban you.
Although winning too much is a rare reason for casinos to ban a customer, it could theoretically happen. Gambling operations are privately owned businesses and can refuse service to anyone without providing a reason.