Well it clearly depends on context. Total system-wide demand is different from the demand at your house. Demand at your house is clearly lowest when you're outside of it, assuming your central heating/cooling is configured normally, regardless when the peak demand at the system level is. Presumably every human is somewhere, and that somewhere is both lit and heated/cooled, but specific locations have different usage profiles depending on their intended use. Indeed the whole [south for overall efficiency] vs [west to align with usage] necessarily cannot have a single answer for all buildings, as it depends not just on (a) the average usage profile of the building in question over time of day, but also (b) the price profile over time of day that the utility charges you, (c) the production profile of your solar panels over the relevant range of directions, and (d) whether you have storage capacity or, equivalently, the regulatory environment allows you to sell your surplus power onto the grid. With all of these things known, it's more or less straightforward to solve for the angle you should aim your solar panel at. But without knowing these variables per se, it's not remotely possible to make a blanket statement that "solar panels should point west".
The same goes at the system level, to a lesser extent. Superficially it would seem that the system would prefer to have the solar panels producing at their optimum (i.e. south-facing) and make up the difference with coal/nuclear/hydro during peak hours, since this produces the most power overall. But if you get down to the actual details, it's possible that max efficiency solar exceeds system demand at offpeak hours and wastes energy, or that the transfer losses are nontrivial, or that the plant providing the base load can't scale up efficiently or to an absolutely high enough amount at peak hours, and so on. So it's not necessarily the case even that a whole power system is optimal with optimally-oriented solar panels.
So yeah I think TFA's title is pseudo-clickbait since it reduces a complex system down to "everyone is doing it wrong". But it's definitely a lesser tier of clickbait than we usually apply the term to.