I think you're both right -- you in that joe is definitely an atypical small business owner, if my experience is anything to go by, but he's right in that a lot of the businesses that get crushed by Groupon aren't being run real well to begin with.
We do a lot of one-on-one B2B work. I really, truly, dearly love our clients. However, it's definitely true that most (nearly all) of them handle their business as though it's a 9-to-5 job. They come in, open up the shop, place orders, deal with whatever needs attention, and practice their trade for the day.
And that's fine! There's nothing wrong with that. They're happy, it's great all 'round. But, then they often get wind of the "next big thing", and they ask us how to get involved with that, without really thinking through whether or not it's the right fit for their business. They aren't maintaining the kind of customer tracking they should be, or follow-ups, or the kind of cross-promotions that joe described.
(We aren't yet, either, which is the only reason we haven't run a Groupon of our own. I'd love to, but we're not ready for it yet.)