I've learned that for a game trailer, people want to see the gameplay as quickly as possible. But for a Story and Feel trailer (which I'm sure I'll produce for the game's release), I agree that your idea would be a perfect intro!
The game still starts with this same sliding out of the cryopod intro, and I've even been able to improve it since the old prototype, as you'll be able to test out in the official game demo coming out soon!
Thanks for the feedback ;)