Dear Steven,
The information is correct.
But you have have read it wrongly.
I suspect you have not read the instructions clearly or perhaps have not seen the FAQ.
Please take note that the Ten Thousand Calendar is a LUNI-SOLAR Calendar. This means it contains BOTH the Lunar and Solar dates with reference to the Western Gregorian Calendar.
You need to take note of the "Transition Dates" for the Solar Calendar which is highlighted in black, each month.
The software is correct. So is the book.
Warm Regards,
JY