We check sliding, bearing and overturning for culvert wingwalls. Or, I should say we did, when we developed our standard designs. We could probably reduce the sliding and overturning forces by considering the resistance provided by the culvert, but most of our box culverts are precast, so the resistance to sliding provided by the one 6' precast section attached to the wingwalls would be limited. For overturning, it's only restrained at one end, and while it's the taller end of the wingwall, we don't assume it will restrain the entire wall.
Because the wingwall is one piece, we do use the height at the 1/3 point along the length to design for stability. We still use the max height for structural design.