People do use unreviewed proofs. They just mark those results separately from the rest of the paper so that people (correctly) know not to rely on them, or at

People do use unreviewed proofs. They just mark those results separately from the rest of the paper so that people (correctly) know not to rely on them, or at least to continue to treat them as tainted; they also usually try to avoid relying on such theorems for critical results. Which is a way better solution than what you're proposing, which is to just mix them in with proofs that people are reasonably confident in and hope for the best.