Binance is promoting all hype coins/tokens not just $SHIBA, because Binance wants that hype traffic to go to Binance rather than to its competitors.
The advertising source of Binance is being fully utilized and more on Shiba coin as it is one of the few projects related to the richest person Elon Musk, he has actively spoken out about it many times and many articles envision it as a force that directly confronts and devours dogecoin, its advantage has been revealed recently with a sharp increase in both ratings and price, binance's media is also really quick to announce it and attract users. By using such public relations, Shiba coin and binance will probably be the kites that will meet the wind in the near future.