I would argue, that the abundant mid-level manager would penetrate the more thriving unskilled-market, so that the wages in the two sectors can at a max converge. For germany for example I can tell how the labor market changed after the so called "Bildungsexpansion" lit: education-expansion. The government put a lot of effort to get the masses to get higher educational degrees, resulting in 50% people with higher school certificate (Abitur) and tenfold the number of university students. One result is, that people with medium education replaced the unskilled workforce which now has a much higher risk of being unemployed. A lot of people with a masters degree dont do any academic job. This is also somehow dissatisfying, because everybody feels a bit unchallanged. But this gets too far into politics (equal opportunities) and away from theoretical considerations I think.
You're right. I guess in my example, you would call the "unskilled" people "skilled in use of telephones technology," similarly to how a manager of an engineering firm may actually earn less than the highly skilled engineers. The German problem is also somewhat evident in India and Russia, where they have a lot of idle high-degree types, or people with master's degrees running middle-management of call centers. The scary thing about that is that due to their volume their wages are way lower than ones in USA/Europe, and all they really need is someone with business and entrepreneurial sense to put them to work producing some REALLY high level products for very little money, which would result in educated Europe being underpriced, and very under-uneducated USA being just wiped out...