There does seem to be some common types of issues when disconnected from the WATCH but still connected via WIFI (to a known network)
The watch seems to have connectivity, but for example apps that require a true location such as DarkSky seem to have a real problem updating at all when not actually connected to the watch. They seem to fail or timeout. Wunderground is the same. I have the feeling that they are trying to get a real-time LOCATION stamp, but they cannot get location alone - without the watch - and therefore they fail. Apple probably needs to send or list in the wOS2 app some "last known location" stamp that the apps can use in the event of no connection to the GPS on the phone.
Also, things like the stock STOCKS app doesn't seen to update at all over WIFI, it just shows last known data - which can be WILDLY off.. for example it shows the market is up 180 right now, but we're down 300!..Anyway, it probably needs to be able to stand alone a bit better.