Why did Luo Ji keep his discovery secret before he went to sleep?

(title should be hibernation, but it might be considered spoilery so I didn't put it there)

Like I know he is a wallfacer, but I'm not sure what secrecy did to help him in his plan.

The point of the wallfacer program was keeping the plan secret from the tri-solarans.

But in this case the Tri-Solarans are the only ones who actually knew his plan. They knew what his potential plan could be before he even did.

So keeping it secret didn't have any strategic benefit. It only increases the risk that he would die before he was able to use the secret to any effect.

At the very least he should have set up some fail-safes where other people would be given the information in the event of his death.