[swedishturnip]

They might or might not hedge a call, depending on whether they like the risk and their (usually relatively strict) risk limits allow it. Typically they are not in the business to take outright directional bets on stocks though - so yes they would delta hedge. But part of trading upteen-jillion contracts a month also means that among those trades there will be some that at least partially offsetting, meaning they might not need to delta hedge as much.