The p-value distributions change as a function of the t_lcl parameter. Simulations of the Cygnus region with no source present at Cygnus X-3 position were analyzed for different t_lcl values without applying the ICL rejection criterion. The flux and position of the hypothetical source at the Cygnus X-3 were allowed to vary, the g_gal and g_iso parameters were kept fixed, and T_ss = 4. Green histogram: t_lcl = 0; black histogram: t_lcl = 2.29575 (corresponds to a 68% confidence level for two degrees of freedom); blue histogram: t_lcl = 5.99147. The red dotted line is the theoretical distribution, the green dashed line is the theoretical distribution, and the cyan dotted-dashed line is the distribution.