It's duct tape. That is not open for discussion. It was invented during WWII as a general purpose adhesive tape. After the war it was used as a building material, to connect ventilation ducts. These days, better tapes exist, so duct tape has become a redneck fix-all. I have several rolls in my shop.
There is a Duck Brand tape, but even they admit that the type is duct tape. It's right there on the label.
It was never used for taping ducks. That would be cruel.