Final answer:
The statement regarding women's incapacity during war is false as history evidences their significant contributions. The Cult of Domesticity did play a role in class distinction, affirming the separation and perceived superiority of the middle class. The effect of term limits on the representation of women in state legislatures is not conclusively supported by the available data.
Step-by-step explanation:
The statement that many women found themselves incapable of handling the burdens of war when their husbands and fathers went off to fight is false. History shows that women have stepped up in times of war, taking on roles that were traditionally held by men, such as working in factories (becoming 'Rosie the Riveter' during World War II), serving in auxiliary military positions, and performing critical work in many sectors to support the war effort. The notion that women were not capable is a myth that downplays the significant contributions women made during such times.
When considering the concept of the Cult of Domesticity and its relationship with class distinction, it is true that it reinforced the separation and supposed superiority of the middle class over the working class by highlighting the idealized role of women in society during the 19th century.
Regarding the impact of term limits on the representation of women in state legislatures, the available data suggests that while term limits might contribute to a larger number of women serving, asserting a statistically significant increase requires specific studies that examine multiple factors influencing elections and appointments.