Braginskii extended magnetohydrodynamics is used to model transport in collisional astrophysical and high energy density plasmas. We show that commonly approximations the ${\ensuremath{\alpha}}_{\ensuremath{\perp}}$ ${\ensuremath{\beta}}_{\ensuremath{\perp}}$ coefficients [e.g., Epperlein Haines, Phys. Fluids 29, 1029 (1986)] have a subtle inaccuracy causes significant artificial magnetic dissi...