I've had my S62 for about 4 months, and it initially showed my shot-by-shot data (with the hole map display in the Garmin Golf app) immediately after a round, but now it does not do this - no matter how long I wait, unless I connect it to my PC and use the Garmin Express software.
A friend uses the same watch with an iPhone, and it has ALWAYS worked immediately for him, so I guess the issue is with either the Garmin Connect or Garmin Golf android apps. Both apps are using the very latest version.