In this case, uncreated means, non-contrived, natural, something that does not require an effort to maintain.
I once heard a myth, not sure how real, that New York City has a massive underground flooding problem - but because the city infrastructure situation is so insanely complicated, no-one can even dream of fixing the leaks - instead they just have a system of pumps running 24/7 pumping the water. The city can only exist thanks to the pumps, if the pumps were to stop even for an hour, the city would get flooded and the rest of the infrastructure would collapse. This is how the story goes anyway.
Samsara is like that. It requires continuous maintenance. We are not normally aware of this, but we do put tremendous effort 24/7 to maintain Samsara. We do it ourselves.
Our Ego (image of self) is contrived, and requires constant effort to maintain.
Our idea of the world is contrived as well.
Our idea of how the world should be is also contrived.
The pumps that maintain these systems are our narratives that we keep telling ourselves again and again.
The whole mass of suffering is based on these pumps.
Similarly, mere intellectual understanding of Dharma, of Anatta, of Emptiness etc. is equally contrived. Because it is contrived, it does not hold under pressure of real-life circumstances.
The uncreated, the natural, is always there, like the clear sky above the clouds, we just have to stop the pumps in order to see it. Direct experience belongs to this category, and so will hold under any pressure.
This is the meaning of "uncreated" here, not in the active sense as in "deconstruct". Although come to think of it, certain amount of deconstruction (of ego, of habitual illusions) is sometimes necessary too.