Illustration showing the interpretation of the impact of different astrophysical effects on the offset distribution. The green line refers to the dark matter only scenario (see Fig. 1). The dragging due to ram pressure and baryon friction increases the number of clusters with a small offset and is displayed in orange. This first transition is highlighted by the green arrow with an orange edge. Major and minor mergers are responsible for the largest offsets, which further shift the right-hand tail of the distribution (in red). This second transition is highlighted by the orange line with a red edge. Finally, AGN feedback increases the offsets in a medium regime, reducing the number of clusters with a small offset. The final result is the Δ_X − O distribution measured in eFEDS (see Fig. 1). It is shown in blue and the third transition is displayed by the red arrow with a blue edge.