I think the first video makes a right meal of things there.
I've turned brass on my woodturning lathe (I spent 25 years woodturning before getting a metal lathe). Treat the metal like a hard wood that you use a scraper on. The tool has a rounded profile viewed from the top. The front clearance is about 30 degrees. You need a toolrest that puts the cutting edge about centre height. The tool needs a handle and it should be raised above the axis of rotation. That way, if you get a catch/ dig in or whatever you want to call it, the cutting edge gets pulled down out of the cut. So no drama. The toolrest needs to be smooth to permit a smooth action to achieve the shape you want. Then nibble away gently at the workpiece to shape it as desired.
I've used this technique on steel to make a profiled handle for a machine without any problems. HSS woodturning scrapers are remarkably efficient at cutting metal as they are at wood. It comes down to practise and the skill of the operator to get a flowing curve on the workpiece.
Rob