These aren't the same thing. When "Bob's Plumbing and Heat" run a promotion and say "Win a Toyota Camry!", no reasonable person would presume that Toyota endorses or is otherwise affiliated with Bob.
Now let's look at what the Loopt UI looked like:
1 - It's presented in a way that's extremely similar to what all of the other group-buying websites look like. Which is to say, a reasonable person can easily confuse this for a deal from an affiliate (Groupon-style)
2 - The bullet points do not do anything to dissuade this. In fact, nowhere on Mr. Agrawal's screenshot does the website mention that the merchant must approve the deal.
3 - In fact, there is nothing on the page that would indicate to a user that this isn't the standard group-buying affiliate-deal we're all used to seeing. There's not even messaging in the vein of "Tell Bi-Rite you want to see this deal!" that might defuse confusion.
So it really comes down to reasonable interpretations. When a reasonable internet user, who has heard of Groupon, LivingSocial, et al, sees this Loopt UI - would it be reasonable for him/her to perceive a affiliation or endorsement for Loopt from the merchant?
Personally, I'm leaning towards "probably". Had the user base of HN not been tipped to the business model prior to seeing the feature, I would expect much confusion even from our seasoned web-guru user base.