My interpretation of your quote was that the boiling wasn’t referring to the heat produced, but instead the idea that mass (our planet) is being converted to energy, reducing the mass of the planet
This may be technically correct, but all the sunlight falling on the ground (which is about 10,000 times our current power usage) is about a kilogram per second under E=mc^2 — it isn't going to be measurable on the timescale of this planet's future existence before being consumed by the sun or ejected from the system due to orbital instabilities, and only even significant compared to the current planetary mass over time periods significantly longer than when all stars in the universe will finish burning all their fuel.
