The radial idea I believe came from original load testing on utility lines. They were rated by the radius of ice accretion. So the formula for reporting to the NWS became: (thickness on one side + thickness on the other - thickness of the branch/line)/2. Because even if you had an inch of ice on your hypothetical branch, reporting 0.5" radial accretion is still the same amount of ice and weight on that branch.
However, flat ice accumulates totally differently than on branches or lines.