I have seen some other question engines provide different versions of questions by changing the question type used. I have not seen an easy way of doing that in Moodle before except for the random matching question type which reuses short answer questions. I recently realized that other types could be easily converted with a format plugin.
If you would like try it, install the Cross XML question format. Export a set of multichoice or short answer questions with Moodle XML format. Then import that XML file while choosing the Cross XML format. This will import multiple choice questions as short answer and vice versa. Short answer questions need to have the distractors present as incorrect answers of course for them to be useful. It also requires Moodle 3.2+.
If the Drag-and-Drop Matching question type is installed. The plugin will also convert between this type and the regular matching type.