It would maybe if the air was stationary while the earth turns below it... but it isn't. Anyhow, at 15 degrees per hour rotational speed of the earth (compared to maybe 7,500,000 degrees per hour on a typical main rotor), the effect wouldn't be all that overwhelming, even when hovering over the north pole...
How about coriolis effect? If flying north or south in the northern hemisphere, coriolis effect will push you to the right. In a counterclockwise system, this will basically increase tail rotor drift! How's that as an argument for clockwise rotors.