I believe that leading is not a factor of velocity, but rather hot gasses melting lead at the base of the bullet.
Nope, not quite.
Hot gases are in contact with the bullet base for about 3 milliseconds in a handgun. The heat transfer characteristics of lead/lead alloy bullets simply do not allow enough heat transfer to accomplish melting during this short amount of time.
Lead deposited in the breach end the barrel (the most commonly encountered leading scenario in a handgun) is principally from gas cutting.
Due to a poor gas seal, the gases jet
past an undersized or over-hard bullet. In a revolver, this is most severe in the cylinder throats - before the bullet even gets to the barrel. These gas jets blast the lead off the bullet and deposit it into the forcing cone and barrel. The poor gas seal is caused by either undersized bullets, oversized cylinder throats, or by using too hard an alloy with too small a powder charge. In order for a bullet to properly seal and eliminate gas cutting, it has to obturate (compress and deform) to "fill" first the throat and then the rifling. With light loads or over-hard alloys, the obturation never takes place and gas cutting is the result.
Although it seems counterintuitive, leading can often be eliminated by going to a softer alloy or larger powder charge.
I disagree. IME, pushing lead bullets at jacketed velocities - or even swaged lead and nominal lead velocities - strips material from the bullet and fouls the grooves.
This depends on what you mean by "jacketed velocities". Leading caused by pushing a bullet too hard usually occurs over the full length of the barrel, often getting worse near the muzzle. It's unusual to get that kind of velocity in a handgun. I routinely push hard cast lead past the 1300 fps mark with little or no leading. I use a properly sized, properly lubed bullet with an alloy that is correct for the velocity.
Your HBWC recommendation is good advice. Hollow based wadcutters (HBWC) were designed so that the impact of the powder gases on the hollow of the bullet will obturate the skirt to fill the throat and bore - thus eliminating gas cutting. This is why you'll see some of the lightest charges specified for HBWC lead bullets.