Never said to not use both that's why they have scouts that watch the games and also record numbers. At the end of the day numbers don't lie and are a very accurate way to measure a player.
I use them religiously in Baseball to determine how good a pitcher or batter is and believe me they are over 90% accurate in how good a player is. Hockey is getting into analytics more and more, all the front office for every team use them.
I'm not saying they're not good or useful. I'm saying that telling someone that "stats overrule their opinion" may not always be accurate and you should rely on both. As the season wore on, we got worse defensively. I think the stats if broken down by month would probably show that and as an average we may have been a top 10 defensive team. But we weren't a top ten defensive team all year last year. We went from really good to pretty bad, so a season long average doesn't tell the whole story. That's all I'm saying.