You wouldn't experience any problems except in the rare case that your laptop would try to draw too much power from the adapter, causing an overload.
The ground plug is purely for safety and has no effect on the proper
operation of an electrical appliance. It accomplishes two things.
First, it assures that the plug is inserted with the proper
orientation so that the hot wire of the socket is connected in a
predictable way to the appliance. Second, the safety ground wire is
typically used in appliances that have a conductive case and the case
is connected to the safety ground. If a short circuit were to occur
inside the appliance, any current will be passed through ground,
rather than through the body of someone who touches the conductive
The laptop will work just fine if the ground plug is removed or if
the hot wire and neutral wire are reversed.
To answer the title of you're question, you may not want to remove the grounding pin because "If the customer alters the product in any way, then all warantees are
void. It is, by definition, the customer's fault, whether there are
technical reasons or not."