For those that use belt sanders for sharpening, did you find it worth while building a horizontal mount? What type of abrasive belts do you use and how high do you go on grit? Also, does anybody use those leather strop belts? Wondering how well they work compared to hand stropping.
This is a long answer to a very faceted question that is extremely non linear and conditional. Personally I have designed, made, used, maintained and reconditioned pretty much every type of cutting tool known to exist for pulp/paper and machining and have worked with all the major manufacturers such as Simonds, IKS, Lennox, Kennametal and a lot of others over the decades. I point this out because I have seen about every type of technology there is and they all have strengths and weaknesses on sharpening despite all the various "opinions" out there.
You need a firm rigid mount-
no human eye and muscle/joint structure can hold a proper rigid angle ( and slope of the angle) along the cutting surface against resistance. ( let me get the comparator or microscope and show those who think otherwise). Just because it cuts "good" when first used is NOT an indicator of proper edge geometry.
Belts are good for general purpose but you have to use a relative equation all moving backward from the "correct edge" ( a subject all of its own)
Micro abrasives get you closest ( lapping and such), hard wheels get super close, belts get "good enough" and so forth- they are all relative to the condition of the current edge when starting as to which is the best method or even capable. ( you will take years to "polish" out a bad profile but a belt will do it in a few seconds and so forth)
The true choice of method is determined by the steel and edge design as to which is best.
Basically on the shaping, you have 3 choices: laterally ( side-to-side, rubbing, sawing and other terms), cut toward edge, cut away from edge.
How bad the current geometry will determine which is best but generally laterally is best for straight edges because of the long run and cutting toward the edge is normally superior to cutting away from the edge. ( that's a CONDITIONAL answer with special cases)
The reason cutting toward the edge ( cutting edge facing away and drawing blade toward you) is best has nothing to do with the angle ( both ways will get that equally) but with micro fatigue and work hardening in the critical angle zone.
All abrasives gouge metal as opposed to peeling like a lathe tool ( different type of chip evaluation) so as the metal gets thinner, the force to mass increases so there is microscopic work hardening. ( not unlike changing RPM on a CNC when getting near hole end)
In general belts are more uneven/random in abrasive distribution so they will dig in and damage the leading edge wen cutting into the edge.
For mechanics use, use the method you feel most comfortable with
That's a short general primer for a very detailed and complex subject.