It's a broad generalization to say that "companies that offshore actually lose money and damage their brand but companies still do it because other companies do it." Everyone wants to speak in absolutes and make everything into an ideological thing -- making it a rule of some sort. It's just not like that. Outsourcing to benefit from cheaper labor can make great sense. It very often does. For example, there is no way Apple could produce iPhones in the U.S. and be as profitable as it is.
That said, outsourcing can also be a mistake. It really just depends.
I remember when this piece came out and the discussions around it. The fact is, regardless of whether the example of Phillips is indicative of a broad trend, or whether the assumptions the writer made are correct (because Phillips wouldn't give straight answers), there is undoubtedly at least a degree of what was being suggested. Labor is just one cost in manufacturing a product. It isn't necessarily the greatest cost -- depending on the product. It can be as little as 10 percent of your wholesale cost. In which case, higher shipping and coordination costs due to the outsourcing are likely to more than offset the labor savings.
Which means there are undoubtedly companies that offshore, even though it isn't best for their profitbaility. Again, though, no, that doesn't mean that outsourcing never makes sense. In fact, it likely makes sense more often than not.
What it does mean is that the Wall Street sell side analysts often push for outsourcing (pushing a simpleminded story) and company executives know that the announcement can pop the stock -- even though they also know it doesn't actually make financial sense. In those cases, it becomes more about the investor presentation and the stock price. Which is why I am certain it happens. Those are poorly run companies.
Again, though, that doesn't mean that outsourcing to find cheaper labor doesn't make sense for ANYONE. If that is your conclusion, you are taking what are likely exceptions and trying to use them to prove a rule.