Headline from the OP's link: "Sucking carbon dioxide from air is cheaper than scientists thought"
Oh my. This (if true) really changes the game.
I repeat my old caveats, we need to be damn certain of what we are doing before we start taking direct action and messing with global climate parameters. It's not nice to fool (with) mother nature. 
JR
PS: I have shared about the study here before, same economists who wrote the "freakonomics" book. IIRC his name is Steve Levitt or something like that.
The antidote to Global Warming was in the followup book "Superfreakonomics." It described putting large amounts of sulfur dioxide into the high atmosphere (I recall something like 20 miles up) to raise the reflectivity to sunlight, lowering the heat from the Sun and thus lowering global temperatures. The estimated cost to do this was about $20 million, which is a drop in the bucket compared to estimated costs of global warming, or the costs of current industry.
The effects of this would be "global cooling," similar to the 1883 eruption of Krakatoa:
https://en.wikipedia.org/wiki/1883_eruption_of_Krakatoa#Global_climateMuch of the reaction to this proposal has indeed been "we don't really know how the atmosphere would react, so we most not try to do it." This may indeed be a valid concern.
But the essence of this article in the OP is that it is economically feasible to remove carbon dioxide directly, what is claimed to be the most problematic "greenhouse gas," from the atmosphere. This is something that few if any thought possible.
This looks substantially different from the sulfur dioxide proposition, as removing carbon dioxide can only bring the situation back to a "better" time when there was less of it in the air, and global warming wasn't a danger. How could this be bad, or how could it be like "messing with mother nature?"
The whole deal of "Global Warming" has been the rising amount of carbon dioxide in the air, and how more of it causes more global warming (see
http://350.org, a sites whose name/url represents the maximum parts per million of CO2 its proprietors think should be in the atmosphere). If it could be directly removed and its prevalence in the air reduced, shouldn't the Global Warming alarmists cheer? Yes indeed they should, but I wonder that they would instead destroy the machinery like Luddites destroying automatic weaving looms.