The word shear means at an angle. For turners, it's often referred to as skew. The basics of cutting and machining terminology can be found here, if you have no respect for copyrights.
http://woodtools.nov.ru/mag/understanding_wood/understanding_wood_id.htm Or with less of the original, but proper permission, here:
http://homepages.sover.net/~nichael/nlc-wood/chapters/caop.html
If you follow the terminology and the theory, you'll understand why the business of "riding the bevel" as in toe to heel, or perpendicular to the edge is not desirable. You have a particular bevel angle on the tool, and you cannot adjust the sharpness angle to compensate for the wood direction and density properly unless you keep the bevel off the wood. A bit of clearance angle is always needed, so you should never have the entire bevel on the wood anyway.
The way you maintain control of the tool is to angle it to the work so that the edge is supported across the breadth of cut. The way you lower the sharpness angle is to shear or skew the edge to the direction of feed. A lathe tool is the same as any other edged tool, so all the basics work.
I use gouges forged or shaped in some of the traditional forms for shaving, applying them to the work as shown here, if you have broadband.
http://s108.photobucket.com/albums/n28/MichaelMouse/?action=view¤t=35mmGougeRounding.flv
Still.
http://i35.photobucket.com/albums/d160/GoodOnesGone/Frame-From-MVI_1017.jpg
For most of the clip I'm letting the gouge geometry do the work, cutting on the wing. As it is fairly straight, it works fine on a mild downhill. As I get toward the end I move to the more rounded portion and swing the handle left to put some extra skew or shear in the cut. Same as going to a low angle block plane for end grain, and you can see that the shavings are broader, though the feed rate is pretty much the same.
http://s108.photobucket.com/albums/n28/MichaelMouse/?action=view¤t=CherryPeelIn.flv
Shows hows the shear or skew angle increases as I cut inside. Note the wire shavings to begin and the wide shavings at the bottom.
A still, if you don't have broadband.
http://i35.photobucket.com/albums/d160/GoodOnesGone/12_1024.jpg