Of course this approach breaks when the gigantic corpocracies are able to bloat into larger and larger sizes. But it might be an interesting research topic.
Think about it this way: I can have somebody skilled or unskilled do a job. Assume that they make the same output but it takes unskilled 2x the time, let us say maybe producing some leathercraft. Their output is not worth 2x the skilled, it's the same thing. Now assume that they take the same time but the skilled produces an output of 2x quality, maybe they are cooking something and the skilled makes a dish 2x as good. Neither are they worth the same. It may actually be worth less because they produce it slower so consumer has to wait 2x as long.
It wouldn't be impossible to quantify it for all but edge cases.
It would be impossible to quantify it because there's no objective measure of value. The current system allows value to be quantified by people's revealed preferences: the jobs people are willing to pay more for get paid higher. If there's no market for labor then there's no revealed preferences and it's impossible to know which jobs are creating more value for people (only what jobs are creating more value by some bureaucrats personal subjective measure of value).
That value not only has a very wide range, but also it’s constantly fluctuating. If you try to centrally dictate it, you’ll be constantly getting it wrong, distorting the labor market just as badly as artificially low interest rates distort other aspects of the economy.
First - currency is the physical note, coin, IOU, etc. Money is the concept.
With debt-backed money like the US dollar, the money is created by a private bank (the Federal Reserve) in exchange for US Treasury bonds - debt.
The currency supply is controlled by the US Treasury, but the money supply is controlled by the Federal Reserve.
Labor-backed money as I understand it, would be created by the Treasury in exchange for labor. The Treasury would control the supply of both money and currency. Crucially, to create money, labor must be performed. Similar to debt-based money, where debt is created by the government as the basis of money - in this case, labor would be "created" by the price (in new money) offered for it.
There is no need to have some centrally-planned, mandated valuation of a certain tradesman's time vs another trade or profession - the government puts out lots of contracts for bid today with no such mechanism in place, and it wouldn't need to change.