I like the way you put some secondary meaning into the egg shape. But in my mind “egg” does not say “spaceship” at all, so you will have to rely a little more upon your details and setting to convey that message.
It seems to be coming along nice. I would make some of you edges more defined as they can get lost at a distance and then the whole thing would just become a blob (unless that’s what you want).
What I found, on the last screenshots is the small (propellers? lights?) on both sides of the egg, they seem a bit anecdotic… What about having them a bit more integrated in the main shell? Otherwise, this is great design!