Effects of losses on run CygX1 structure and dynamics. Top: temperature slices of runs CygX1 and CygX1_noLoss at time t = 15 000 s. Both jets display similar structures, with the exception of a slightly larger outer cocoon at the head of the non-cooled jet. Bottom: jet head propagation and speed of the same runs, CygX1 in red and CygX1_noLoss in blue. The theoretical 1D propagation from Appendix A.1 is drawn as dotted lines following the same color-coding. The propagation is identical in both runs until the start of the turbulent phase, after which speed fluctuations differ, but the average propagation speed is identical in the two runs with almost no difference in the jet head position plot.