Yes, the laser beams' wavelengths will differ but the change in wavelength indicate the change in their length of "time" in my example and nothing more, which was the point that I wanted to make. The difference in measurements of time arises due to our dependence on light to observe objects, which does not make it true that that is the actual difference in time.
The point of this was to show that the absolute time of the universe is not relative, meaning time is not weaved into space as the theories of relativity states.
As for gravity, I have updated my stance on it after some thinking.