Ok I have now got Android 5.1.1 on my Moto and are trying to get to grips with the wifi.
I get the idea that wifi will only switch on intermittently for set periods and I can live with that to save battery but what I woulld like to know does that keep happening even if watch is paired and connected to your phone via Bluetooth? 
Seem pretty silly if when you are connected to phone, if every 30 minutes it also tries to connect via wifi
I love the idea of wifi and big ups to google for having foresight to include wifi in the watch at the beginning which LG G R watch seem to have forgotten