I recently had a similar "realization" except, in my variation, it came alongside the thought of keeping my head still. I was totally moving my head back in the first part of my take-away without even realizing it.
Now, on video, I can see that my head moves drastically less . .and it feels like my belly/midsection/torso/what-have-you, follows the clubhead.
My take-away, at least the first part, now feels like a weird "belly stretch" - if that makes any sense, lol. I feel my hips staying where they are and my head staying where it is . .and my belly turning to stay in-line with the clubface. This feeling lasts until I start to lift my arms in the backswing.
Then, in the downswing and follow through - the club feels like it stays connected with my belly - even pushing ahead of it . .and definitely not getting behind my belly-button anymore.
As long as I can keep my wrists loose at the same time - this is smash-city - the best I've ever hit it . .by a big margin.