A large part of eq is sensing what others feel, it’s true. Whilst eq can be honed by everyone, it’s true some people find it easier than others. In fact some people feel limited emotions generally. There’s nothing wrong with this. It’s just how some of us are built. Everyone can develop EQ, just not necessarily in the same ways.
It’s helpful you feel sensitive to others’ emotions. Feeling and then understanding them well helps us to navigate communication and relationships more easily.