There is absolutely no difference in meaning when you take the word "emergent" out. That's why it isn't useful, which Eliezer was pointing out.

I'm not entirely sure this is correct. I wouldn't call the trajectories of planets and galaxies "properties" of Relativity, but I would call it emergent behavior due to Relativity. It's a stylistic and grammatical choice, like when to use "which" and when to use "that." They may seem the same to the uninitiated, but there's a difference and the initiated can tell when you're doing it wrong.

So, I agree with David Gerard that trying to eradicate the use of the word is misplaced. It'd be like saying "the word 'which' is obsolete, we're only going to use 'that' and look down on anyone still using 'which'." You lose far more by such a policy than you gain.