If you take the strategy that you will create a definition, create a label for that definition, and then say that any deviations from the defintion that was chosen makes usage of the label incorrect, then yes, it's the same everywhere in the universe -- according to fiat, and I don't believe that that negates that it is a label, just that validity of usage of the label derives from the perceived authority of the labeller. God didn't come down from on high and say that a meter is the length light travels in 1/299792458th of the time for 9192631770 cycles of radiation of Cesium 133. People in rooms chose that it would be based on the circumference of the Earth with a line passing through Paris, France (how convenient), and if there were an academy in the 1790s that invented the concept of "fat", and "fat" means a BMI exceeding 30, then fat would be true everywhere in the universe too (BMI after all is defined as a ratio of height, measured in meters to weight, measured in kilograms, which are both fundamental SI units), and there would be no ambiguity.

People are still coming up with definitions of consciousness and then those definitions end up being attacked by others who disagree with the foundation of the definition, which is - if you will recall - also what happened with the meter, over the course of centuries, until it was very recently redefined to be "unambiguous", but arbitrary. This was possible because few people had any particular emotional investment in the definition of a meter, and it is probable that consciousness will be eventually defined to mean that only humans can be conscious, which may be dissatisfying but would be true throughout the universe, like a meter. If the question then becomes "what defines a human" and "why a human", then I ask, why 1/299792458 of a second?