Thats not what a second world country is. Second world was used to describe Soviet Communist block countries as opposed to Western Industrialized Capitalist Democracies. Third World was everyone else, what we would now refer to as the global south (because apparently economist much like Eurovision organizers are a bit fuzzy on geography and seem to believe Australia and New Zealand to be somewhere in the atlantic)
I think they intentionally meant second world. They mention "one party" (presumably one political party), which was generally a feature of the second world instead of third. Additionally, the third world generally allows you to own your house, which is another one of their examples.
