That German SAR-manufactured Uzi is likely produced on old Bundeswehr tooling provided by Israel back when the German Army issued the Uzi as the MP2 (1959-??_).
As far as Canada and the Uzi is concerned, there doesn't appear to have been any doubt that Canada would adopt some form of the Sterling SMG once the British Army selected the Sterling in 1953, following late-war trials of its forerunner, the Patchett Machine Carbine. It took a few years for Canada to design the slmplified version of the Sterling that we adopted, so production of the Canadian C1 SMG did not commence until 1959. Canada employed the Sten Mk II as its primary SMG until the C1 SMG started rolling off the assembly line. No trial of available 1950s post-War SMGs appears to have been conducted. Rather, the modified Sterling design became the defacto Canadian standard SMG without debate circa 1959.
The closest that I am aware of the CAF getting to the Uzi SMG was Colt Canada's (when still named Diemaco) brief dalliance with Uzi Gal's successor to the Uzi, the Ruger MP9. Apparently once Ruger was done with the design due to a lack of commerical success, Diemaco expressed some interest to the point of apparently purchasing the Technical Data Package from Ruger. That's about where my memory fades WRT the Uzi successor that really never was and its "Canadian connection"....