Perhaps it's the only place we know of on a planet's rocky surface. But most of our solar system's planets with moons don't have rocky surfaces, and we can't detect moons in other systems, so you really mean it's not true from the surface of Mars, Pluto or Charon.
Additionally, the moon varies in apparent diameter by about 13% from apogee to perigee, and the sun by about 3%. So while it might appear "exactly" the same size at some point in its orbit, mostly it's just within 5%.
Edit: only by a few percents; the distances are too large to appreciably change the visible size of the sun in the sky.
David Kipping's Cool Worlds lab at Columbia has done some promising research on this, some of which is detailed in excellent videos on their youtube channel.
But at the time also the Earth's average distance from the Sun will grow, wouldn't it?
(I'm not an astrophysicist, I just read about this idea a few years back and it stuck in my mind).
(Don't mistake that as an endorsement of burning fossil fuels — climate change is operating at a rate measured in decades, CO₂ drawdown via the carbonate-silicate cycle operates at a rate measured in hundreds of millions of years)
Sun will be loosing a lot of mass later, but that will be way after Earth has been baked to a crisp.