Yeah. If you want to demonstrate ICBM capability you launch a satellite, especially a lunar satellite. Everyone plays nice and celebrates the science while understanding that your rocketry can get a payload into orbit with enough fuel and accuracy to accelerate and maneuver to exactly where you want to go.

If an ICBM comes at a MAD nation standing orders for nuclear strikes go into effect. Using it with conventional munitions on a MAD nation is a fast way to get your entire population killed without returning the favor.