I agree with you that there is no statement on their social media that they are working with gambling sites, moreover from most people regarding Binance as a large and trusted trading site, it is very strange if Binance launches a gambling site or works with a gambling site, of course it must be watched out for with this or can find out on their social media to see the truth, is it true that Binance is working together or not !!
I don't think Binance ever need to launch a gambling platform and why would they as they are already the leading trading crypto site and gambling is totally different than trading. They can start under a new brand name but I don't think they should.
Yes they can become an official partner with any casino and they would announce it publicly once they do that but launching their own casino is something very rare to happen.
Besides such a move most likely will be received with suspicion by expert traders and investors, after all if binance is the most popular exchange and the profits they are getting are way higher than what any casino may generate, then why do they need to open a casino? So very quickly there will be speculations about the situation of binance not being as solid as we thought and that they need the casino the become profitable again, rumors that even if they were not true, will surely affect the exchange for a long time.