Let us leave aside how much more readily a vertical stack lends itself to ground mounting compared to a flat array for now.
Gravity loads are not typically the primary concern for conventional solar arrays, uplift is. Deadload is an effective means of counteracting uplift. Lateral force per unit area on a roof mounted object is significantly less than uplift (and lest we forget, the length of the lever is mid height for a uniformly distributed load.
Roof design is like computer security, every penetration in the membrane is a potential site of infiltration. More holes = more probability of bulk water in the building. One of the worst places to direct bulk water is around electrical equipment.
Flat layouts create additional problems in regards to maintenance. Access to penetrations and the the membrane will be more largely dependent on the ease with which panels can be demounted, in addition access to panels in the center of the array may also be dependent upon demounting panels - one probably does not want to walk across an energized electrical grid and solar panels tend to be energized when the sun is shining. Hail and wind borne debris are banes of roof mounted arrays and flat panels are generally at significantly greater risk to both.
One ignores that solar panels are a part of a building's electrical system at their own peril, quite literally. A flat scheme not only requires significantly more conductors, it also increases the area over which the potential for a lethal shock is high quite significantly - talk to a fire fighter sometime about how one plans for operations around solar arrays during daylight hours.
It may be reasonable to consider that a longer diurnal period in which significant power is generated will reduce the need for storage capacity - lead acid batteries, hydrogen tanks, and other standard storage methods all come with significant life safety concerns.
Finally, packaged technical solutions tend to provide better quality, lower cost, and a higher degree of safety compared to custom site built solutions. One can assemble a tower in an enclosed factory using industrial Q.C. processes. Doing so on a pitched surface ten meters above grade as light fades at the end of a cold winter day is a bit more unlikely.
This is not to say that the claims of the article are accurate. But from a building science standpoint, a vertical array is a significantly better option than a flat one.