I think that's over-simplistic. Ignorance is like the default condition, the "natural" state of affairs, it will remain so indefinitely unless we create the conditions for wisdom to arise. It's analogous to the darkness in a deep cave, the darkness will remain indefinitely unless we bring down a torch to provide some illumination.
You could say that ignorance arises in dependence on an absence of wisdom, but that's chicken and egg.
I have no problem with that conceptualization. The danger arises in reifying ignorance and treating it as an existent thing, in which case you end up with the problem of where it comes from, and in which case suggesting that it is a causeless, elemental reality comes with serious doctrinal and practical problems.
If ignorance isn't really a thing in itself, there's no problem. The darkness metaphor is a classic one for a reason, I suspect. It gets the point across. It's also true that people can see all sorts of phantoms in the darkness, thanks to a trick of the optical system, so it also suggests the nuance whereby a passive ignorance leads to a more active delusion.
The question of why people are ignorant by default is still a valid one, though. The idea that our natural self-awareness or ego oversteps its bounds is a popular one these days, and I think it can be traced back to the 12 Links and so forth, with the addition of various developments in both traditional Buddhist and modern psychology. It's analogous to how anger serves an evolutionary purpose but can easily get out of hand and is therefore not seen as skillful. What does it have to do with the Links of Dependent Origination of Self-Conception? Well, that provides a cyclic, self-sustaining (though not self-existent) set of conditions that constantly reinforce the delusion of selfhood, which is ignorance in action. Practice of Buddhadharma can break that cycle by providing alternative conditions, allowing one to see clearly and not indulge in the delusion.
The fact that the sutra begins with ignorance doesn't suggest that ignorance is a preexistent entity or that the links aren't circular, but rather that one had to begin somewhere, and ignorance is a good starting point because it's also the point at which one can most easily take a different path with the application of wisdom, which is what the sutra is offering. Right view is, after all, the first step. Right practice and everything else flows from there. As always, it's a practical consideration.
That's the answer to the question of how ignorance arises in the individual sense, anyway. In the sense of where ignorance
in general comes from, I'd say that "ignorance" is an abstract generalization that doesn't exist as such and therefore doesn't have or need a beginning point. All that matters is the ignorance that individuals suffer from, which leads to self-attachment and thus vexations, and I suppose that's been a problem at least as long as there have been humans, which in Buddhist terms might as well be infinite.