At first I was thrilled with the idea of including elves who resemble humans of different ethnic groups. Now I am sort of just shaking my head at it being more of the same stuff.
While you could technically say that people would react to a dark-skinned elf the same way they react to Drow, I think that a bit of artistic license in this case would be warranted, if only to solidify the fact that the campaign takes place in a fantasy setting, not the real world with the same fears, attitudes, and ideology only with elves and magic thrown in. I'm not offended, just . . . disappointed.
Now, to answer your question, as others have said it all depends upon the way the elves themselves look. You mention that they have dark grey skin color, then it sorta reasons that people may react to them as some sort of Drow. However, if they had more natural shades of brown (see pics of people in equatorial Africa), I doubt they'd react to that with the same fear and revulsion they would towards the Drow. It sort of depends on what you want and who's playing at your table, if you get my drift.
This is just my own personal opinion, but moving away from the association of dark skin with evil is a good thing, and moving away from real-world predjudices that mirror that would be a good thing too.