running out of baseline?

[TriggerMN]

Yankees-Red Sox tonight, Red Sox have a runner on 1st and nobody out. Ground ball to the 2nd baseman, who pivots and throws to 2nd base. The ball is going to beat the runner by 30 feet, so the runner gives himself up and runs out of the baseline towards right field to avoid the relay throw. However, the wild throw goes into left field, the runner returns to the baseline, touches second, and goes to 3rd.

Should this runner have been called out for running out of the baseline?