plotting - Using a complicated function as color function

I have an ellipsoid with parametric equations

lst = {10*Cos[u]*Sin[v], 3*Sin[u]*Sin[v], 2*Cos[v]}; 

I define a function

dam = Sqrt[(1296*Cos[u]^4*
       Sin[v]^4)/(900*Cos[v]^2 + 36*Cos[u]^2*Sin[v]^2 + 

        400*Sin[u]^2*Sin[v]^2)^2 + 
         (3600*Cos[u]^2*
       Sin[v]^2*(9*Cos[v]^2 + 4*Sin[u]^2*Sin[v]^2))/(900*Cos[v]^2 + 
        4*(9*Cos[u]^2 + 100*Sin[u]^2)*Sin[v]^2)^2]; 

and a color function as

colFun = Function[{u, v}, Hue[Rescale[dam, {0, 1}]]]; 

My ultimate goal is coloring the ellipsoid according to the values of

Rescale[dam, {0, 1}]

So, my question is why there is a big mismatch in the color rendering in the following plots

h = ParametricPlot3D[lst, {u, 0, 2*Pi}, {v, 0, Pi}, Mesh -> False, 
   ColorFunction -> colFun, ColorFunctionScaling -> False, 
   ImageSize -> 800]; 
g = Plot3D[Rescale[dam, {0, 1}], {u, 0, 2*Pi}, {v, 0, Pi}, 
   Mesh -> False, ColorFunction -> colFun, 
   ColorFunctionScaling -> False, PlotRange -> All]; 
Row[{Show[h], Show[g, ImageSize -> 400]}]

From g we see that the edges of the ellipsoid should be colored with purple color since for the respective angles {u, v}, dam takes the highest values.

Answer

Does the following:

h = ParametricPlot3D[lst, {u, 0, 2*Pi}, {v, 0, Pi}, Mesh -> False, 
    ColorFunction -> (Function[{x, y, z, u, v}, Hue[Rescale[dam, {0, 1}]]]), 
    ColorFunctionScaling -> False, ImageSize -> 800];
g = Plot3D[Rescale[dam, {0, 1}], {u, 0, 2*Pi}, {v, 0, Pi}, Mesh -> False, 
    ColorFunction -> (Function[{u, v, z}, Hue[Rescale[dam, {0, 1}]]]), 
    ColorFunctionScaling -> False, PlotRange -> All];
Row[{h, Show[g, ImageSize -> 400]}]

give what you need?