I could not comment on flights on high frequency shuttle routes in the US, however in the international arena I can tell you that this is not the case. However, airlines plan to use their aircraft as much as possible taking in to account parameters such as maintenance, cleaning and catering. There are any number of events which can cause delays and often do. However, if all runs smoothly there are generally no cancellations.

Of course there are also "economical" reasons for cancelling flights. If there are only three people on a flight, it may get cancelled. The airline might figure that it would be cheaper to reprotect the passengers on other airlines....that does happen and it's a commercial decision.