Yeah. When you WILD you are awake from the time your laying in bed until you are in the dream. You have more time to stay aware and you know what is happening.

When you DILD you suddenly realize you are dreaming and you need to take a moment to get your thoughts organized. It's can be easy to slip out of awareness and dream logic can take over.

That's why stabilization is an important step when lucid dreaming. Especially when you DILD.