A struck player is a serious injury claim
A golf ball carries enough energy to cause lasting harm, and head injuries from errant shots are the reason this is not a trivial subject. The claim is made against the player, and personal liability on the homeowners policy is the first thing standing behind it.
Carts cause more claims than balls do
Cart accidents, particularly with passengers and on slopes, are a common source of injury. Whether a club-owned cart, a privately owned one or a personal cart is involved changes which policy responds, and the answer is not always obvious.
Personal liability follows you to the course
It is not limited to your property, which is the useful part. The limitation is the limit itself, usually set years ago at whatever was offered, and an umbrella above it is the inexpensive correction.