Intermittency is an important metric for determining the likelihood of extreme fluctuating quantities in turbulent premixed flames. Such extreme quantities may lead to flow-altering events including extinction, auto- and re-ignition, and deflagration to detonation transitions. Here we analyze intermittency of enstrophy (i.e., vorticity magnitude) and temperature gradient magnitude fields based on data from direct numerical simulations (DNS) of stoichiometric premixed flames in unconfined domains. The DNS are performed for different turbulence intensities and fuels, for single- and multi-step chemistry models, for varying spatial resolution, and for temperature-dependent and constant viscosities. These simulations thus enable the study of physical effects on intermittency, as well as the study of effects based on simulation fidelity. We show that intermittency in the temperature gradient magnitude varies with the chemistry model but has little dependence on viscosity, while enstrophy intermittency varies with the viscosity model, but has little dependence on the fidelity of the chemistry.