And since when does being spiffing-accurate stuff make good storylines? Everyone would live happily ever after in your scenario with something to cushion the little bumpy ride. And think about it, the core is about to explode in 3-4 mins, you've been attacked with direct hull contact, you're rattled, and the chances of escape pods working properly are low and saucer separation is the only viable option.
Also, the saucer was specifically designed to evacuate from the stardrive. It's protocol.