I'm currently using a 1016 Vulfix pure badger. I find it quite floppy and not good for face lathering thus I use a bowl. What brush is more sturdy and less floppy and is good for face lathering?
Compared to a Vulfix, anything. I use my Rooney 1/1 Super and Simpsons Ehsan for face lathering with excellent results (with the slight edge to the Rooney in my mind due to the fan shaped knot)
For face lathering I would recommend a brush with a 18-22 mm knot set at a loft of 42-45 (18 mm) to 52-55 (22 mm) loft. A Rooney 1/1 or a Tulip 1 or 2 would fit this.
It has softer tips than badger and stiffer bristles. To me, the softness on the face is the most important thing...I've never used a badger that compares to the softness of a well broken in boar.
In badger, a Rooney or have a look at Shavemacs site; they will custom your brush (loft length is important here) at no extra cost.