Four test case applications are discussed in the following to numerically show the improved performance of the novel excitation generators: (a) a chain of 30 hydrogen atoms with atom--localized orbitals, therefore dominated by single excitations, demonstrates the capabilities of our new algorithm for sampling single excitations, (b) a stack of different numbers of benzene molecules with fragment-localized MOs serves as example for a system of fragments with highly localized correlation effects that is dominated by double excitations and highlights the improved sampling of double excitations, (c) an Fe-porphyrin model complex shows the efficiency of the new single excitation sampling for systems with mostly delocalized MOs, as long as there is some spatial separation, and (d) the N 2 -dimer with Hartree-Fock orbitals shows how a uniform particle selection for the double excitations can improve the performance of PCHB.