Distribution of relative time differences Δt_KL of asteroids falling into the Roche lobe of the central compact object due to Kozai-Lidov oscillations (which can be directly interpreted as the FRB emission periods), for the current Solar asteroid belt (green) and the primordial belt, for an inclination of the outer companion plane i_c = 5° (orange), i_c = 10° (green) and i_c = 45° (blue), and initial asteroid number N_ast = 10². We consider a high mass M_c = 10 M_⊙ wide system with a_c = 10 AU and ⟨a_ast⟩ = 1 AU. The number of asteroid infalls increase with the inclination of the system, as expected. Additionally, the relative time differences Δt_KL increase with lower inclinations, except for the Solar asteroid case. The present Solar asteroid belt has already undergone Kozai-Lidov effects during its lifetime, leading to a cleansing of its asteroids that is potentially sensitive to Kozai-Lidov oscillations, which explains its misleading behavior in this figure.