Examples of the gamma-ray flux expected for the four different models: Q, the neutrino–antineutrino annihilation powered jet model (﹩\nu \bar{\nu }﹩), BZ, and the gamma-ray energy as a fraction of GW energy (EGW) in the case of GW191216_213338. The 3σ (10–1000 keV) marginalized flux upper limit is indicated by the vertical line. The legend contains the fraction of all cases above the 3σ upper limit after accounting for the visibility of the jet geometry. Note that this is limited to the fraction of visible jets when all expected fluxes exceed the GBM upper limit; cases with zero expected flux are not shown in the plot. Here the limit is violated in 100% and >99% of cases for the ﹩\nu \bar{\nu }﹩ and Q models, respectively (assuming isotropic emission).