You can't just invent a trait. You have to define it and measure it and distinguish it from other traits and use it to predict the important ways that people vary.
EQ is not a psychometrically valid concept. Insofar as it is anything (which it isn't) it's the Big Five trait agreeableness, although this depends, as it shouldn't, on which EQ measure is being used (they should all measure THE SAME THING).
What precisely do you disagree with? Let's enumerate some possibilities. Feel free to pick one and argue your point:
1. You can just invent a trait.
2. You don't have to define a trait, measure it or distinguish it from other traits or use it to predict the important ways that people vary.
3. EQ is a psychometrically valid concept.
4. It isn't the Big Five trait agreeableness.
5. EQ measures shouldn't all measure THE SAME THING.