You are asleep still when you WILD. Basically you fall asleep, well your body does, but your mind is aware of your dream state since you are supposed to slip right back into REM.

So basically when you DILD you realise you are dreaming when sleeping

When you WILD you fall to sleep but remain conscious and are instantly aware you are dreaming

If this is still not cclear please say. It can all get a bit daunting at first