Ok, the problem is in the script, try this one instead:
material preset_4_bodyMatL
{
   technique
   {
      pass
      {
      lighting off
      scene_blend colour_blend
      depth_write off
      cull_hardware none
      cull_software none
         texture_unit
         {
           texture InvisibleTex.png
           tex_address_mode wrap
           filtering trilinear
         }
         texture_unit
         {
            texture TransparentMarkingTex.png
      scroll_anim 0.01 0.02
      tex_address_mode wrap
      rotate_anim -0.01
      wave_xform scale_x sine 3 0.1 0 3
      wave_xform scale_y sine 3 0.1 0 3           
            colour_op alpha_blend
         }
      }
   }
}
i just removed this texture unit:
         texture_unit
         {
            texture InvisibleTex.png
            colour_op_ex blend_current_alpha src_texture src_current
         }
and now looks like this (it is moving and it does not looks very good at the screenshot):
