Forget "full spectrum", all you need is white light at 3000k to 4000k color temperature. All the watts are converted to heat. The heat produced by all lights is directly proportional to the power, 1 watt = 3.14 BTU. A more efficient light puts less heat into the heatsink and produces more light, but that light is converted into heat when it hits a surface. You feel it when a bright light hits your skin.
In other words, both lights would make exactly the same amount of heat, but the Quantum Board would make more light.