It's been awhile since I've been to the site for that coop, but I thought they had suggestions for modifications, for people that live in areas with more severe winters. I think covering at least part of the top was mentioned. I remember that some of the customers had done that.
Ventilation simply means an exchange of fresh air in the coop. The air comes in one opening, moves through the coop and goes out another opening. A draft is when that air is blowing directly on the chicken. This causes them to lose more body heat. It can ruffle the feathers slightly, letting trapped heat escape. It also blows on their combs and wattles with a wind chill effect. This is not a good thing in the middle of a cold winter, when it's 20 below.
In the summer when it's hot, chickens can benefit from a breeze. In the winter, they need a draft free place to roost. They also need a draft free area to shelter in during part of the day when they need it. To figure out where there could be drafts, look at all the openings in a coop. The air can be moving between any two openings. To make it easier, picture a string going between any two openings. Provide an area in the main living portion of the coop and also the roost area, where the air is not going to be moving through. Don't have any of the strings intersecting the roosting area or a portion of the floor area.
That's the biggest drawback of having the entire roof open. There's not much of the coop that can't have a draft in it. If you cover a portion of the top, you can shelter part of the coop from drafts. It shouldn't effect the attractiveness of the coop at all. It will just make it less drafty in the winter.