If you have experience in other categories of aircraft then itemise these appropriately on the CVor application form. It all goes to show experience of operating some form of aircraft....
Bottom line is you want your application to put you above the next person in line so however you can highlight yourself is always good.... apart from by doing what you claim is happening in your second question!!!!
There can only be one person in command - who’s going to make the decisions? Nothing wrong with making a note of it in your logbook - the experience is beneficial - but don’t count it in the totals - wrong on so many levels.