Hi Thomas and thanks for your comment!
Some of the fine print of the post got buried in the table description, but the energy cost calculations are based on the Dept. of Energy's "Modified Energy Factor" which has three components: energy to heat the water, energy to operate the washer & energy to dry the clothes, so the drying energy is included (that is also how many front loaders get batter MEF ratings than top loaders, they spin faster, leave less water in the clothes and reduce drying energy), so drying costs are in fact included in the calculation. I probably should have added that most of the energy cost component can be eliminated by air drying clothes and washing cold ... it's much harder to reduce the water costs.
That doesn't take anyting away from your argument about the source of air for drying the clothes!