Composite image showcasing the simulated double-boomerang structure from the backflow model (density slice in color map) overlaid with an analytical jet trajectory (solid black line) generated utilising a jet precession model. Despite arising from distinct mechanisms, both structures represent resembling morphologies, highlighting the challenge in identifying the origin of XRGs based solely on their topological features. Each structure originates from the central coordinate (red marker) in the RA–Dec frame (assuming redshift 0.05). Notably, the two models share comparable lobe propagation speeds and evolutionary timescales.