For the most part the suffragettes In warring nations work with the government because they believed that if they showed that they are patriotic and supporting they'd be rewarded with the vote. There were some exceptions to the idea of stopping the protests such as the National Womens Party.

Sources: http://www.brynmawr.edu/library/exhibits/suffrage/wwi.html

http://www.parliament.uk/about/living-heritage/transformingsociety/electionsvoting/womenvote/overview/suffragetteswartime/