I can't watch the video right now, but is it poasible when referring to the 50L II they might mean the current 50mm f/1.2L? Because technically the 50L f/1.0 was the first 50L.
No, because when Canon makes a major change in the spec, such as the aperture (in this case, from f/1.0 to f/1.2) or adds IS, they do not consider the new lens to be a "Mark II." Other examples of this are the EF 200mm f/2.0L IS, which replaced the EF 200mm f/1.8L (change in aperture and addition of IS), and the EF 300mm f/4.0L IS, which replaced the EF 300mm f/4.0L (addition of IS). In either case, the new lens did not receive the "Mark II" designation.
What is possible is that Canon is teasing us with the EF 50mm f/1.2 II to slow down sales of the new Sigma 50mm f/1.4 ART, or it was simply a typo.