Well Moneyball is about process improvement and identifying market inefficiencies. So what was an opportunity in 2001 is clearly not there now. The efficiencies moved to defense - the two World Series combatants were known to be very focused on defensive analytics. The advanced use of shifts is a clear nod towards this stuff.
The advances move the way technology moves in business. There are early adopters - which are often teams like the A's or Rays who have no choice but to keep looking to stay ahead of the curve to manage meager resources. Teams like the Yanks and Sox can wait for the more proven stuff. Bigger companies do the same thing - if it ain't broke etc etc etc
The skills to play the game in a lot of ways haven't changed - but the skills that orgs value sure as hell has, and analytics have been very much part of it. Obviously a decade ago, the discovery that taking pitches is much more nature than nurture changed an area of emphasis for scouting, that plate discipline is something to look for in high schoolers because it is generally difficult to teach to a meaningful degree. (I've mentioned the glaring exception of someone like Sammy Sosa, but that is very very rate) The sorts of players who make the top of org rankings now has a lot to do with improved knowledge on positional value. Scouting still matters a lot, but what they are looking for has changed. And there is still no substitute for scouting as far as determining makeup and such.