It's my understanding that the "income" interpretation refers to tax income, because each transaction is taxed.
Take a look at your quote. It says it's also the "total amount spent on final goods and services". If you buy bread for 1€ and ham for 1€ and sell ham sandwiches for 6€, no one had income of 8€. At most, the state charged VAT on your 2€ purchases and 6€ sales.