Context applies. A bottle of water costs €1 but is priceless to someone dying of dehydration. Just because the market puts a price on a resource doesn't mean that it inherently claims that the value is equal to everyone nor that this expression of value is the most important.
Net worth essentially expresses the amount of money you'd be able to gather by selling off someone's property at current market rate (on top of the money they also have).
Who has the most money: the guy with €100 in the bank, or the guy with €10 in the bank. The answer is obvious as numbers are easily comparable.
But what if we're accounting for non-money assets? Who is the richest: the guy who owns 1 supercar or the guy who owns 10 cows? 10 is a bigger number than 1, but does that mean the second guy is richer? No. The supercar costs more money than 10 cows, and therefore the guy with the supercar is richer than the guy with the cows.
However, if cowsbecome massively valuable tomorrow, e.g. if there is a massive food scarcity, then the guy with the cows will be richer (= have a higher net worth) when you take the current market rate (= tomorrow's) into account. These two guys' property did not change since yesterday, and yet their relative net worth did.
In German, it is unclear what the unit of worth of a person is, but it is clear that it is not €, not USD, not DM.
It feels very off that the worth of a person is even a scalar value.
"Net worth" and "worth" are not direct synonyms and your above statements on a person's worth are not synonymous with any statement on a person's net worth.
It feels very off that the worth of a person is even a scalar value.
Without scalar values, the economy as we know it today cannot exist. I grow potatoes and have many of them, you are a tailor with many clothes. You want food for the winter and are asking me for potatoes, but I'm a nudist and don't want your clothes. Now what? If I'm the only farmer nearby, should you now starve?
Suppose you really like potatoes and hate strawberries. You'd happily trade many of your clothes for my potatoes. But if you hated potatoes and loved strawberries, you wouldn't give me many clothes for my potatoes. But you would give many clothes for Bob's strawberries and thus trade all your clothes for Bob's strawberries. Essentially, your food preference decides whether my family or Bob's family will have clothes for the coming winter.
Does that strike you as fair? Should the worth of my survival be decided by which food you like?
By ensuring that all physical resources (potatoes, clothes, chairs, ...) are expressable as the same scalar value (i.e. currency), we ensure that you and I can exchange goods in a way that we don't have to decide what every item's value is to every person.
This does lead to us being able to compare the value of different resources (and, by extension, people who own a pile of resources), but this comparable nature of economic value is by design to ensure that we can freely trade without worrying too much about who exactly buys my potatoes or who buys your clothes.
The odds of me going unclothed or you going hungry are much lower than if we'd need to barter for good with each other directly. My money is as good as Bob's, regardless whether I make my money growing potatoes or strawberries and whether you prefer potatoes or strawberries.