Does the multifractal structure of the QCD vacuum's topological charge density consist of localized, drivable resonant features?

Lattice QCD studies report that the topological charge density of the QCD vacuum has multifractal spatial structure, with a fractal dimension around D ≈ 2.4–2.7. I'm trying to understand what this structure physically is, and specifically whether it contains anything resonator-like.
Concretely: does this multifractal structure consist of localized features that are temporally stable — sitting at effectively fixed spatial locations — and that possess characteristic eigenfrequencies, such that they would respond preferentially to an external driving field at those frequencies?
Or is the fractal structure better understood as a statistical property of fluctuating field configurations, with no fixed, drivable, resonator-like objects in it that could be individually addressed or excited?
I'm asking about the physical interpretation of the lattice result, not disputing the result itself. References to the relevant literature on the spatial and temporal character of these structures would be very welcome.