Would be helpful if it said on what basis it will make wind power cheaper than nuclear. Cheaper maximum generating capacity? Cheaper raw per watt cost? Cheaper per watt cost even after taking into account the extra power storage capacity wind power requires?
Yeah, you are right. There are many variables that need to be defined first.
How much does it cost to put nuclear power generation in a house? You can't. So therefore wind power is infinitely cheaper than nuclear.
If you put a wind turbine on the side of a building where that side forms a wind tunnel, then you can generate power very cheaply - if you only count the cost of the generator and the batteries. If you count the cost of the building that makes the natural wind tunnel and repairs it is more.
Same with nuclear - you need to count other costs. The cost of a rare accident is billions or trillions. The cost of cleanup, ruined nearby industries ( and even not so nearby industries (Wales farmers)) can be massive.
Wind power can be used without storage depending on what needs to use the wind power. Like the article mentions, car batteries are quite useful to store the power in. There are many uses for electricity that do not require continuous electricity. Likewise it can be used as a complementary source of renewable energy. There are communities that generate 100% of their energy from renewable sources, and part of that is from wind.
Wind is also a cheaper investment. Nuclear costs a lot of money initially, and on an ongoing basis. At a small scale, I can buy a portable wind generator for my ipod for under $30. At a large scale, some communities have farms that generate 5 gigawatt hours a year.
How do you price the cost to the environment of wind farms? Noise pollution, and visual pollution. The cost of safety - that is damage to human and animal life. Wind power causes the lowest amounts of death to humans, but apparently causes bird deaths.
It's all very complicated, but wind power does have some clear cost advantages. From scale of investment required, to safety cost advantages, to reduced environmental cleanup costs, to reduced tourism and land price effects.