I am sure you could get closer today with modern instruments.
"I am sure you could get closer today with modern instruments."
Oh, no doubt, but it's still flawed in several ways. There are numerous influences on the speed of light in real space. Many of those cannot be measured from Earth, but are easy enough to understand.
Given those influences, which include gas clouds, gravitational influences, and even Earth's atmosphere, the measurement can only be an approximation.