Yes I practice it, and no I haven't tried it.
Mindfulness meditation is easier to learn and to make part of one's daily routines then mindlessness meditation is, especially if you tend towards Attention Deficit Disorder like I do. Noticing the natures of all things as they are expressed through the details of time and circumstance, and letting them flow over you like water on a duck's back, "is what Tiggers do best." It has moved from second nature to first nature for me, and it brings its own calm and connected groundedness. I associate and am associated with all things, without the need to pass judgement on the myriad things or to obtain the one thing. Beauty is all, not that I assign to it, but that it assigns to me for the observing.
Practicing non-thought is also worthwhile, but has severe hazards for one with deep scars from trauma and a shattered or tattered sense of self. It is too easy to lose touch with time and sanity, to dissolve into pure abstraction without a clear way back. One may wake into the wrong thread. "There be monsters" the edge of the map says. For me, it is dangerous, painful work, and without a guide I would not journey at all. But for those without trauma and with strong egos, it can be a better fitting road.