To me, it sounds more like a DILD as you got lucid with the help of a reality check. I also think that most people's WILDs start from their own bed. And yes, you don't always get WILD sound, hypnagogic imagery, vibrations or other things during the transition. I think it depends on person and day.

I got my first lucid dreams when trying to WILD too I didn't ever succeed in WILD though, but the self suggestion made me have a lucid dream, just like in your case. So, trying WILD increase chances of getting LD even though you don't succeed in it.

PS. The end of your dream was pretty funny