That "Brewt" comes from Abid*... who also makes the Clever.
Paper filters are a pain, and have downsides. Re-usable filters (cloth, metal-mesh, nylon-mesh, socks, fingers, etc.) have downsides too. In my experience, paper filters are best, if only in a lesser-of-two-evils sort of way.
I've tried the "Brewt" type thing (branded as a Teavana product), and experienced the same stalling as Alistair.
One of the things that I like about the Clever dripper is that the wide upper portion thins-out the floating coffee-grounds crust, which I think helps extraction. Granted, more heat-loss that way, but everything's a trade-off, ain't it?
*Fun Fact: Did you know that "ABID" is an abbreviation for "Absolutely Best Idea Development?