I've never been able to figure out what the criteria is for an official giveaway/takeaway. They always seem so incredibly subjective. A defenseman reads the cycle, bodies off his man, and wins the puck? Not a takeaway, even though it forces a change in possession through his direct action.
A forward misses a pass through the neutral zone that goes to the opposing defender? Not a giveaway, even though it's an unforced error that results in a change of possession.
It's not unusual for me to see a player create three or four turnovers and get credit for zero to one takeaways in the box score. I'm sure they're measuring something, but I'll be damned if I can pin down exactly what that is. It's probably different for every official scorer, just like hits.
I'd rather have guys with good numbers than bad, but I try not to put much stock in those numbers. I think they paint an incomplete picture at best of a player's contributions on those fronts, and at worst a potentially misleading one.