So if taken on a specific case the financial perspective alone of a particular application of renewable vs conventional energy the numbers don't add up then likely the renewable is less green.

Renewables are more climate efficient and cheaper. Today. All this included. A wind turbine, depending on size, position etc, generates the amount of power used in it's construction within 2.5 - 11 months. Over it's life cycle it generates about 40x the energy you put in. There is no valid excuse to keep burning stuff because it appears cheaper short-term.