As with Speed Queen down south (USA) you need a score card to keep up with who owned brand name and or produced appliances for Canadian market.
Until 1979 SQ branded laundry appliances were manufactured by McGraw Edison factory in Cambridge, ON. This ended when in November 1979 McGraw Edison sold American Speed Queen factories to Raytheon and Canadian went to "Canadian Admiral"
From late 1979 after Canadian Admiral acquired SQ their commercial line was sold under "Econ-O-Wash" and domestic appliances under "Ultra-Wash". Speed Queen brand name cannot be used in Canada by either of above companies because it is owned by Inglis which is largely owned by Whirlpool.
At one point Raytheon marketed appliances under SQ, Hubesch, Simplex, Econ-O-Wash and Ultra Wash names.
Washer in linked OP auction appears to be Inglis/Whirlpool made "Speed Queen".
One bases that statement on fact that both under Inglis and Kenmore (from Simpson Sears), and Speed Queen one finds square shaped wringer washers so very popular up north. SQ in USA never offered a square tub wringer washer, always round.
https://bidlive.kauctions.ca/INGLIS-ROYAL-WRINGER-WASHER_i27659777
https://www.automaticwasher.org/cgi-bin/TD/TD-VIEWTHREAD.cgi?85653
Is your head spinning yet? Are you feeling dizzy? *LOL*
Then you have:
"Around 1970, Simplicity became a division of McGraw-Edison Canada. In 1974, McGraw-Edison moved from Guelph Ave., Hespeler to a service office on Sheldon Drive, Cambridge, and a manufacturing plant on Pinebush Road, Cambridge. McGraw-Edison was briefly taken over by Canadian Admiral Corp. who went into receivership in 1981.
In 1982, Canadian Admiral's assets were purchased by Inglis Co., and the factory re-opened in 1984. Inglis made Admiral, Whirlpool, Kitchen-Aid, Kenmore and Inglis brand dryers. In 1990, Inglis became a wholly owned subsidiary of Whirlpool Corp. In 1994, Whirlpool announced closing of the Cambridge Inglis plant and in 1995, the manufacturing plant was shut down with product lines moving to the parent plant in the United States."
https://waterloo.pastperfectonline.com/webobject/52FFE29C-A178-4998-9928-925451557100
This would likely explain Simplicity wringer washers that look remarkably like SQ pictured in OP link.
https://www.automaticwasher.org/cgi-bin/TD/TD-VIEWTHREAD.cgi?29387
SQ wringer in action: