A:AnswerThere is truth to those horror stories; heavy iron cookware is not recommended because most do not have a perfectly flat bottom and are heavy; it doesn't take much of a distance of a drop to shatter ceramic cooktops especially if the bottom is domed slightly "consintrated inpact".
Another issue with cast iron cookware is the rough grain which most of the contact area which if slid while cooking as I've seen cooks do as frying in skillets WILL SCRATCH THE GLASS or CERAMIC top; Glas is softer than iron.
All that being written iron cookware will work with convection cooktops; as anything ferrous or magnetic is needed to for a magnetic field to excite the atoms in the cookware to heat up for cooking.
I recommend buying the correct cookware recommended for convection cooking.
As a side note if you want to erase old VHS tapes or destroy a smartphone or any sensitive electronic device put them on the cooktop with a burner on. The surface is cold to touch and won't melt anything plastic but will magnetically disrupt the magnetic storage media and overheat anything ferrous in electronic devices. It's easy to forget the burner is on and not turned off when removing cookware to another area and forgetting to turn it off.
Experience can be an expensive teacher.