In many respects, I think you already break your stream of consciousness when you sleep or are knocked out. When a copy of your brain is made, that copy will experience what all of us do after a good night’s rest in a train: waking up to an unfamiliar environment, subtly changed by random firing of your neurons when you were asleep. The “you before sleep” is effectively not the “you after sleep” because there was a break in the chain.

Thus, there’s no benefit to the “you that didn’t go on vacation”. There was a benefit to the “you that did go on vacation”.