Statistics can definitely measure hockey in an accurate light. You just need the right statistics.
If/when the NHL starts tracking individual puck possession, puck touches, passes, etc., we'll see a big revolution with this stuff.
It's not on the NHL to do this, it's on the teams to innovate. That is, more or less, how it has happened in all the other sports. Some teams in the NHL are almost certainly doing it by now anyways.
http://www.fastcodesign.com/1670059/moneyball-20-how-missile-tracking-cameras-are-remaking-the-nba
The problem is data collection, how come the NHL can't do something like this? It would even be easier for hockey IMO, you could simply put some kind of chip into the equipment. You could calculate speed, find where shot and goals are coming from, zone entries, or just about anything.
This can be done for hockey. There are two main reasons STATS inc. hasn't done it yet:
1) They don't feel they're likely to make as much money from hockey as from other sports. Right now they are focusing on developing optical tracking for football, which I think we can all agree is likely a more lucrative venture.
2) Optical tracking of the puck is very hard, perhaps even impossible with out getting the league to agree to implant a chip in it. They did that for FOX, but it's less likely they'd accommodate a company like STATS inc. that plans on selling the data.
I definitely agree this is the direction hockey will move in regard to collating useful information for player effectiveness.
Analyzing puck movement is the key to the game itself. I know of certain technologies used in soccer to spatially analyze player velocity and distance by use of chipped jerseys, so I wonder if that could apply to a hockey jersey, stick, and puck?
It'd make analyzing the game easy enough that you won't have to watch the game, necessarily.
I know they're using chips in soccer now butoptical tracking has been going on there for several years now. The advantage with chips is they are faster, so you can analyse and display the data faster. From what I understand, the way they're going to use the chip data is to generate interesting statistics for broadcast in (essentially) real time, to enhance the viewing experience.
The disadvantage with chips is that the players need to be wearing the special jerseys. Of course that is obvious, and probably doesn't seem like a big deal, but it prevents you from building a large scale scouting program around the technology. It also prevents you from trying to mine historical data.
Granted, current optical recognition techniques require special cameras and several angles, but in the long run those limitations may be overcome through algorithmics. In the case of chipped jerseys, there's simply no way to collect the data for past games.
The funny thing is, as much as people focus on Baseball when talking about analytics, the truth is the current leader is the NBA, by far. The rate at which data collection and analysis techniques are evolving in Basketball is nuts. The traditional Baseball sabre guys sitting around playing with their slide rulers while the the Basketball guys are learning Hadoop.