I don't think EIIs are nice people, but we do strive to be good to people, polite and understanding of other people's situations. I think that people confuse UNDERSTANDING with HELPING. With EIIs I think it's more of empathising with you because they understand the situation you're in and will not judge you for it. But that's different from the Fe way, which would be to actively care for you and make you feel better and DO stuff for you. I think Fe is more about what you would DO for people, and Fi is more about how you feel about this person's situation.
To answer your question though, no- not all EIIs fit the 'nice' stereotype, I personally am not a goody-two-shoes. I do things that would be considered wrong all the time and don't feel guilty about it, I get into conflicts with people, I curse, I hate, I judge, I envy... You get my point. But that doesn't change the fact that I try to be a good person.