Good eye CT Yank. I've generally seen that first Zenith (at 1:20) with a brown leather case, not black. But it does look like that model, I agree, as the LK version of the "lunchbox" has the black switch in the bottom left hand corner, as opposed to the LF and LG models.
Zenith sure had some cool looking radios in the 1950s and 60s. A 1962 Zenith Trans-Oceanic Royal 1000-D from a yard sale was my first shortwave radio.
Thanks for sharing!
MP