In my humble opinion, a service or product can't be partial white labeled. Either it's white labeled or it's not. Dukaan last; not white labeled.
I will call it "reduced branding" or something like that.

I don't understand that AppSumo allows for this deal to use the term "White labeled".

@Jyotbir_Dukaan how do you think your offering is compared to this definition of white-label that I took for Wikipedia: "A white-label product is a product or service produced by one company (the producer) that other companies (the marketers) rebrand to make it appear as if they had made it."?

I would say that you are 2% of the way to have a white-label service.