Ratio of $\omega/\pi^0$ production as a function of transverse momentum for pp collisions at $\sqrt{s}=\SI{13}{TeV}$. The data is compared to various measurements at lower collision energies ranging from $\sqrt{s}=62$ to \SI{7000}{GeV}~. The data is confronted with various theoretical calculations, which are given in the legend and described in the text. In addition, the ratio obtained from \mt-scaling of the measured $\pi^0$ meson cross section is shown.