Well first, the Coriolis effect is well documented, and is commonly used to predict accurate weather conditions in the future. We can see the effects of the coriolis effect across innumerable atmospheric systems, from small systems, such as tornadoes and mesocyclones, large systems, such as Hurricanes and Anti-cycles, and large system, such as the Hadley Cell and the Intertropical Convergence Zone. Any model would have to account for a change in lateral speed with a change in longitudinal position.
On a related note, the Eotvos effect cause a decrease in weight when increasing one's speed towards the east, and an increase in weight when accelerating westwards. This is accounted for in a RE by the rotation of the earth, and the change in weight corresponds to the speed that the earth rotates at.
So how exactly would this be accounted for in said models?