To my eyes, losing the ball for the second goal was 100% down to his error for the first. He was trying to create something to make up for it, and got caught in the centre of the field, where he should not have been dribbling. I don't think he's there doing that if he hadn't lost the ball for the first. That's a pretty significant mistake in a tactical system like ours.
I like that Unai protected him publicly, but I also hope that behind closed doors, it was made clear that compounding your first error with a second one is not the way to ingratiate yourself with Unai.