Drow do get more special lines, I am noticing this in my evil playthrough, but I would say in general all races have a similar experience and all of them might as well be humans in the narrative. There is very little racial differentiation even though Forgotten Realms does an excellent job at describing nuances and differences between races, it is sad to see very little of it reflected.
On the other hand, it must be so difficult to adapt so much diversity in a new generation game like this is. So I guess we have to be ready to accept it will not be a 100% dnd experience when it comes to the setting. It's just a gigantic work.
I hope that the other races will get more options even in the content currently in the game, maybe the drow are just the most fleshed out in that area.
That being said I do think it is reasonable that some races will get more options than others depending on the situation.
