I can't speak for valuations, but I don't see the 'no logical buyers' argument. This product has multiple competitor products, mostly at far higher price points, any of those manufacturers would seem like a logical buyer to me (if only to get rid of the competition). Can you elaborate?
You aren't just buying a company, you're buying a job. In this blog post, the payroll expense is $250k a year. The founder is working for free 40 hours a week, acting as a software dev, managing a $40k advertising budget, developing the product, and overseeing the customer support team.
If you buy this company and hire somebody who can do all those things, that $235k of net profit becomes $0.
Buying it just to shut it down without continuing the product- eh- does your product really address all the needs of the customer base? Or will they go to another competitor instead?
It's small. There are very few logical buyers of technically complex small businesses. There are logical buyers of small businesses and logical buyers of technically complex businesses, but at the intersection there is not.
Even bog standard SAAS companies struggle to sell at a decent multiple when they are really small, and they aren't especially complex.
I think this is one of those areas where a competitor buying you can make sense. Either your product is attractive to higher margin customers, at which point they are buying into a higher end market, or your product is part of the low-end, and by buying you out and shutting you down, they hope to convert some of your lower margin customers to higher margin customers, and let some of your high-maintenance customers go bother one of your mutual competitors (which is honestly the most Sun Tzu-ish, borderline Machiavellian, reason to fire a customer)