Not in my experience. Except for very well known brands like Coca Cola and Mars, the store-brand products are always front and center in all shelves, and all in-store marketing (flyers, catalogs, promotions) is for the store branded products. This is for Carrefour, Franprix and Monoprix, not sure how it is in the US.

Target creates knock offs (Up+Up brand) for almost all the household products they sell. They're placed directly next to the item from the known brand, such as Neutrogena. I would say if anything, the known brand item is more front and center, but it's impossible to ignore the adjacent facsimile that's 2/3 the price.

FYI, “knock offs” has the same meaning as counterfeit. Target sells “generics” under their Up+Up brands.

knockoff means imitation https://www.merriam-webster.com/dictionary/knockoff https://www.collinsdictionary.com/dictionary/english/knockof...

I’ve never seen it used in a context other than trying to pass an item off as something else. I would be surprised to hear someone refer to a generic version of something as a knockoff.

That's a fairly common usage in British English.