I've taken three IQ tests years apart in my adult life, all came back at 139.
I used to think I had low EQ, but in last few months, did some intense work on emotional processing, searching all repressed emotions that are blocking my flow of emotions, and after that clearing, I was suddenly very emotionally sensitive and aware, feel like my EQ is now 139, too. Well, maybe not quite that high...
The thing is, when you repress / suppress emotions regularly, you are basically turning down your emotional thermostat, which both limits your feeling / processing of your own emotions, but also limits your perception of other people's emotions. So you literally GIVE yourself low EQ when you repress your own emotions. And people with BPD suppress emotions more than most, since we tend to have social anxiety, fear how people will perceive us, fear looking abnormal (don't wanna look too nervous, laugh too hard, look too sad, best to be safe and just look calm and collected at all times... oh, they are laughing? Guess I can let out a little chuckle, too...).
Point is, low EQ is not like something we are born with, stuck with. Maybe there is an in-born EQ, but you then make it EVEN WORSE with your emotional suppression / repression, and if you clear that out, you may find your EQ is much higher than you thought. How can you say how good your vision is if you are only testing it while looking around with glasses that have strong filters on them? Until you remove those glasses, who the hell knows how good your vision is? Maybe it's still weaker than average, maybe not, but it sure is going to be better than it is right now.