Without getting nitpicky to the point where it's impossible to say anything at all without complaining it's not a perfectly complete and true statement, their s

Without getting nitpicky to the point where it's impossible to say anything at all without complaining it's not a perfectly complete and true statement, their statement still seems correct to me. Especially given that this is a statement for non-statisticians and they can't exactly go on a 5 minute tangent to explain exactly how p-values work. Perhaps it would have been more accurate if they phrased it: "which means a chance of less than one in a billion of seeing a correlation this strong if it's due to chance", but I think few readers would even notice the difference.