Is the representation of Earth oriented correctly in this image?
The way "I see the diagram" it looks weird, but it is probably correct.

My perception is that it is about frames of reference. We are used to seeing the Earth with Earth's north at the top, not at 23.5 deg from the vertical.

This picture has the ecliptic pole at the top. As you state, Earth's equator matches the celestial equator. The Earth's poles would be at right angles to it and the north pole would be in the middle of the white mass at the top of the Earth - representing the Arctic ice sheet

If you imagine a line from this point, perpendicular with the celestial equator it matches zero degrees latitude and is sort of sub parallel with the west coast of Africa.

The other thing that might be confusing our perception is the representation of the land masses is not accurate.

Looking at the representation for Europe, Italy is not present, neither is the Balkan Peninsular or the islands of Britain &amp; Ireland. Scandinavia just looks wrong! Iceland is present and the Arctic ice extends too far southwards. The last time I looked there wasn't an ice sheet between Iceland &amp; Greenland. Also, the Red Sea isn't represented.