I just looked at the video and, it doesn't seem that the video tells expansive soil is the direct cause of drywall nail pops. It's more like home owners are addressing various symptoms first and the guy is explaining the expansive soil is one of the issues. To me, expansive soil is more relevant to driveway cracks, roofing issues and slabs etc...
Since I'm the one has several drywall nail pops, I did some researches and concluded myself that drywall nail pops could happen on new constructions. If you google drywall nail pops, there are a lot of the same questions from many new home owners and cause of symptoms from experts/painters are all similar. Here is one of them:
" the wood studs and joists delivered to construction sites typically have a fair bit of moisture in them, usually about 19% moisture content (MC). The equilibrium moisture content of these framing materials in a heated home is around 10 %, averaged for the year. The reduction in moisture content causes shrinkage in the wood member: the average "green" two-by-four, with approximately 19% MC, is approximately 1-5/8" by 3-5/8" in size, and will shrink to approximately 1-1/2" by 3-1/2" at about 10% MC.
Because most houses are erected quite rapidly, and the drywall is applied to the studs before they have had any time to stabilize and dry out, these studs will dry out within the wall space and will actually dry away from the drywall, causing a gap between the back surface of the drywall and the face of the stud. If pressure is applied to the face of the drywall by a person leaning on it or setting a ladder against it, the nail or screw can pop or push its head through the face of the drywall."
http://www.paintsource.net/pages/solutions/new construction/drywall_imperfections.htm
Since we're living in sunny and dry area, the chances of getting moistured wood stud is relatively small compared to other states. Unfortunately, when my house was built up, my house had 3 days of consecutive heavy rain before the drywall. So I'm suspecting that my lumbers got wet and contained more MC than California average. If moving soil is strong enough to pop nails then I could have seen at least some stucco cracks outside but I can't find them. Or it could be caused by iPac's poor worksmanship.