The 20th century was the century of carbon-based energy. I am confident the 22nd century is going to be the century of atomic energy (i.e. terrestrial atomic generation and energy from sun’s fusion). It's silly to describe solar as atomic energy from sun’s fusion as a distinct category from carbon-based energy, because of course carbon-based energy was formed by capturing solar energy from the sun's fusion.
Fine, call it a 'carbon-cycle' energy system. Which may make it more clear that we're doing a great job on the 'burning' part of the cycle, but not so good on the 'capturing' part of the cycle.