We didn't have that controversy here. We had Simpsons and Eatons. In 1952, Sears made a deal to merge in Canada and Simpsons stores became Simpsons-Sears. In 1978, the Hudson's Bay Company bought out Simpsons-Sears and changed the name to Sears Canada, but some of the older stores retained the Simpsons-Sears name. Some of the stores were overhauled and opened as The Bay.
https://en.wikipedia.org/wiki/Simpsons_(department_store)
Sears still exists up here, but Eatons, once Sears biggest competitor and mainstay of malls and shopping centres, wouldn't keep up with the times and their stores looked just like all the other department stores instead of the prestige shopping experience it once was. Both Sears and Eatons offered catalogue shopping, but Eatons dropped it in an effort to save money. It helped, but not enough, and they went bankrupt in 1997 (bad management was the main culprit) and finally folded in 1999 after over a century in business. Ironically, many of their stores were bought by Sears.
https://en.wikipedia.org/wiki/Eaton's