I'm completely new to EVE, and so I don't really understand how the storyline arcs work, but the general rule of thumb, in other MMO's, is that anything that is game-story driven, is generally dismissable in RP. Sure, you can RP the arc with some friends, but you'll always run into the dilemma that someone else might have been there already and done that, weeks before you did. Does that dismiss your RP because of it?
I feel personally, its in bad taste to RP anything that involves a story-arc that isn't player driven content, AND use it as a character developing device. But that of course, is just my two cents.
-----------------------------EDIT
And reading through further, I realize I might have missed the purpose of this topic a little... But my statement still holds a little true.
I think what makes EVE a great game, is the ability to really carve your own place into the Universe. I don't have to be apart of the main conflict, or make any huge contribution to the main story arc for my character to be worthy of rememberance... no, what makes RP as special and as wonderful as it is, is that we have the room and opportunity to create our own place in the universe. Make our own stories. That doesn't mean that interlocking parts of our stories with the main arc in some fashion or another is a bad thing necessarily... but when this occurs, it should never be in some large amount that anything your character does, would have direct impact on the main story arc. (that's more or less the 'heroism' you speak of.) Rather, a better thing to do, is use the main story arc as a means to fuel the ambition and goals of your character. What purpose does he have in this? Why would he be there?... and most importantly, what significance is there in his contributions? Its a huge balancing act, that you find in any universe, be it EVE, or Lord of the Rings, or Star Wars... but, I guess to put it simply:
The events of the main story should be allowed to mold your character, the actions of your character should not mold the main story. Not in a way that your taking the pen out of CCP's hands and putting it in your own... especially when there are already so many other people fighting tooth and nail for that same pen.