Lichtenstein is a very rural country
Only 1.5% of the workforce work on agriculture. That doesn't seem very rural to me.
GDP is completely irrelevant. If 3 people decide to trade. Persons A, B, C, thin air for $100,000, A with B, B with C and C with A, we have traded thin air for $300,000. So we have a GDP of $300,000. However no one earned anything, no one is richer than before, no one in fact had any income.
That's not how GDP works at all. GDP is the (estimated) value of the total worth of a country’s production and services, calculated over the course on one year. It can be calculated in several ways, but the main point you are missing is that net income of A, B and C is zero.
Median household incomes etc. *are* available
I would appreciate if you tell me where.
The main area seems to be tax evasion schemas for surrounding countries, which have daughter or mother companies there
Same in Liechtenstein (remember the Liechtenstein tax evasion scandal of 2008?). That's why numbers provided by both countries are to be taken with a grain of salt, to say the least.