No that's not true at all. You can absolutely build new housing that's luxury and ask for more than the average market rate. And also in Austin, by "affordable" they mean "income-restricted" units. The quote I copy and passted above continues like this:
> A key piece of Austin’s strategy has been to encourage the construction of affordable housing. The city pursued this goal through density bonuses—allowing taller buildings with more units when they include income-restricted units—and bond levies to build more affordable homes.
Maybe don't comment as if you know what you are talking about if you are not familiar with the politics and economics of the housing market.
Many (most?) cities have a quota of social housing (i.e. housing that's below a certain rate that allow for people with lower income to get a place). That's what meant by affordable housing in this context.