Why do you say that they don't hold, exactly? We take our consistency guarantees, and correctness more generally, deadly serious. I think it's fair to say that we did quite well on Aphyr's review; he's found some quite obscure issues that were quickly fixed. More details here: https://www.cockroachlabs.com/blog/cockroachdb-beta-passes-j...
I think your information is incomplete or out of date. Do you have a source other than the Jepsen blog? That seems to make clear that the two issues that were found in the tested beta release were quickly resolved. [0]
No, CockroachDB does not maintain strong consistency across a globally-distributed cluster of computers. It is a "goal", but not the reality.
People reviewed these claims, and they do not hold (see e.g. Aphyr's review)