Binance always support the project that they wanted to. Therefore if they want to support or promote any project should be seen first on their platform and should be visible on Twitter. They will tweet every single project they will list or something that they want to make a headline.
This case seems not true because I couldn't find it on their Twitter page.
More on taking the attention and using Binance is the best way to bring interest to your project, whatever binance take to this kind of publicities it will still end up gaining from this coin, investors and those traders who will think that this concern is for real will surely fomo to the site and start investing to this coin.
Binance always attracts people's attentions and with this kind of rumors, Shiba and Binance will get new interest and new money from both project and the platform.
No harm to Binance, bad or good, still money making news to bring inside their business.