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)
That is empty talk, ie advertising.
In a distributed database, as is the state of the art, you sacrifice one of: availability, consistency, performance.
This is true for every db, be it Spanner, or MongoDb.
Best to document what exactly was sacrificed. Just claiming that you "take it seriously" means nothing. BTW good luck :)
Then some random dude walks in and finds that... the claims are false.
Oh, you fixed the bugs... great.
Here is the real question.
If you guys really know what you are doing, there would be no chance of someone... Aphyr or not, breaking your consistency guarantees.
In fact, you would be way ahead of Aphyr or whoever else can throw tests at you.
Just my 5c