Final answer:
The question is based on a historical figure not mentioned in the provided information. The information, however, covers the context of missionary work during the expansion of American influence abroad and civil service reforms during periods of American imperialism and Progressivism.
Step-by-step explanation:
The provided information does not specifically mention J. Roswell Flower, or how missionary policy may have changed under his administration, indicating that the question may be based on misinformation or a typo related to a historical figure. However, the information does discuss the broader context of American missionary work and civil service reform during periods of American expansionism.
During the late 19th and early 20th centuries, American missionary societies sought to expand their influence abroad, particularly in Asia. This era of missionary expansion coincided with the United States' turn towards imperialism and Progressivism, where the spread of democracy was linked with spreading Christianity.
Significant civil service reforms were also taking place domestically during the eras mentioned, particularly under President Ulysses S. Grant, where such policies as competitive exams for promotions and extensive vetting for new hires were put in place.