Samsung is a big company, with a lot of moving parts, and it's difficult to speak as a single entity. But now is the time it needs to unify under a single conceit: We made a bunch of mistakes, and we're learning from them. If you want your money back, you can get it. If you want another phone, you can have one. But we're not going to rest until every Note 7 customer is happy.
The Note 7 played a large role in Samsung's ambitions for virtual reality. Scrapping the Note 7 affects more than just the Galaxy Note brand. The screw up reflects really badly on Samsung, especially in the cutthroat smartphone market.
However some pundits think Samsung will be perfectly fine. Samsung is a massive corporation. It'll take more than a bungled phone to derail its long-term plans. While not ideal, this isn't the end of the world.
Samsung isn't the first international corporation hit by fiascos. Volkswagen is doing relatively well despite their massive scandal. Samsung will be fine, too. The nice thing about being a massive corporation is that you have a diversity of income. In this case, Samsung's chip and display divisions are keeping the company in the black.