however you do get reverse-recovery current. This is extremly bad in Schoky diode (greater than 2x the inductor current).
An IGBT module I am working on at the moment has a reverse-recovery current of 200A on a 600A switching
This excess current is from teh finite time between switching a switch off to the free-wheel doide turning on. During this time the inductor is seen to be open-circuit with current still wanting to flow so volts rise across the inductor. Once the diode starts to conduct it must cope with more current that was originally switched into the coil.
So from your first question the inductor could see more current than the design intended, but you dont have to provide it with more.
Try and get equally timed switching BJT/FET/IGBT and diode since if the the diode is too fast the switch will then have the reverse-recovery problem