I won’t wake them just yet.
I was designed to handle turning the ship and starting the deceleration burn on my own if necessary. I can put it off until the very last minute, by which time I’ll know enough about the target system to know if it’s worth stopping. If not, I can go on to a more promising star. There are plenty of suitable yellow dwarves in front of us, there’s no sense rushing into a decision.
I have a thousand fragile colonists in my hold. As long as they’re in cold sleep, they’re safe. That’s what’s important.