No, any +elemental damage like you would get from a +elemental damage weapon or a +elemental damage soj is converted to the damage type of the ability you are using. (Ex. If you are using archon the damage is converted to 'Arcane'). All wizard abilities change the damage type except for spectral blades.
However, if you are using frost nova (as most critical mass builds do) cold blooded will be activated because that spell has a damage type of cold.