Agreed. A flipper and the pickup tube, no need to handle a primer at all. Not that it is much likely to hurt them.
People talk about filling a crate of primer tubes and sitting at the loading press for hours at a time. Not me. I use a progressive to turn out a hundred or two whenever I have a few minutes to spare. Filling the primer tube is a good break and a chance to fill the bullet tray, case feed or tray, and check the powder measure.