One of the most overlooked benefits of flying via private aircraft is the additional security one acquires. Much of this security is an extension of more obvious benefits like scheduling. When being sold on using a private aircraft one is told of the immediate benefits, but security is often overlooked because the need is not immediate. Neverheless, it is there.
One of the first benefits is that a private flight is private. It is not open to anyone can afford to fly. That means one's fellow passengers are individuals they know or one can be flying alone. This gives a great deal of security from terrorism as no one will be trying to take over control of the plane or trying to destroy it mid-air. In addition to terrorism, there is protection from corporate espionage. No people will be trying to listen on conversation or look at documents one is working on.
One of the selling points for using private jets is that there are ten times more airports available for private aircraft in the United States than there are for the major airlines. This provides a lot options to get to and from a location without detection. It also limits the amount of time one gifts on the ground in an undesired location. This security benefit is enhanced when one is peaking of international travel. Should a country be potentially hostile, a private aircraft can get one in and out quickly.
A concern with the commercial airlines is baggage. With all the inspections they go through, luggage has been a concern for quite some time. With a private aircraft one does not have that concern. Just as one is not flying with anyone they do not know, they are by extrapolation not carrying anything with the intent to harm. If the one is flying solo, then the only luggage will be their own. What the aircraft is carrying is what the passengers bring, nothing more except personally cleaned with the primary passenger and the pilots.
Finally, a key security feature of flying privately is the schedule. One gets to dictate when they leave. There is no waiting on the aircraft. A private flight passenger gives notice that they are ready and the aircraft is prepped to take-off when the passenger arrives. Should the passenger desire to leave much sooner or later than originally planned they only need to give notice. The aircraft will be ready and waiting. Also, the itinerary and passenger list is kept private. There is no one on board to notify anyone of who is on board or where they are going.
As one can see there is much security provided with flying on a private aircraft.