Sure, they (the exchange) benefit from shitcoin because the list costs are quite large, so I think the exchange does not think about the quality of the project and only think about profits. It's very rare for a really tight exchange to list a token/coin, as far as I know is that Binance can't list all the projects there.
Of course, the exchange has received certain benefits and they need to make contracts between them and the project, listing without too much consideration of quality, in addition, it is hard for us to identify what is shitcoin until they are listed, exchanges may not be able to tell if it is a good or bad project, they need users and metrics to show them directly. If those projects are not good, right after being listed for a short time, the exchange will proceed to remove and delist, Binance exchange is one of those places that are constantly taking those actions