From the perspective of an observer on the ground, geostationary objects do experience a small amount of time dilation due to the relative velocity differences between the object and the observer. However, the effect is extremely small and practically negligible.
Time dilation is a consequence of the theory of relativity, which states that time can pass at different rates for observers in different frames of reference, depending on their relative velocities. Objects in geostationary orbit, such as communication satellites, are positioned at an altitude of about 35,786 kilometers (22,236 miles) above the Earth's equator. At this altitude, their orbital speed matches the rotational speed of the Earth, causing them to appear stationary from the perspective of an observer on the ground.
Although the satellite is technically in motion around the Earth, the relative velocity between the geostationary satellite and an observer on the ground is relatively small. As a result, the time dilation effect is minimal. The difference in gravitational potential between the observer on the ground and the satellite also contributes to time dilation, but again, this effect is small due to the altitude of the geostationary orbit.
Overall, the time dilation experienced by geostationary objects compared to an observer on the ground is so tiny that it can be considered negligible for practical purposes.