DC choppers output voltage in ccm and dcm mode with no load
What happens in each case depends on the control scheme and how fast it can react.  You left out the all-important part that controls the switch.  This controller essentially decides when to do a pulse and for how long.

With a slow controller, you will get more overshoot than with a fast one.  There are many tradeoffs that are balanced in a controller.  What you are asking about it known as the transient response.  Getting good transient response often comes at the expense of higher output ripple.

For example, a pulse on demand system has fast transient response, but more output ripple than a carefully tuned "smooth" controller.

Your question therefore can't be answered without knowing the innards of the controllers, which you omitted from your descriptions.