Some of the East Asian country’s residents argue that the massively successful band is doing plenty for South Korea without wearing a soldier’s uniform.
South Korean law requires military service for all able-bodied men aged between 18 and 28 for about two years as part of the country's defenses against North Korea.
BTS’ eldest band member, Jin, is 27 and will be required to sign up for military duty by the end of 2021 while the other six will reach the age of conscription over the next few years.
South Korea has granted exemptions for high-profile athletes such as Tottenham Hotspur forward Son Heung-min as well as classical musicians such as award-winning pianist Seong-Jin Cho, but to date, there have been none for K-pop stars.
"Not everyone has to take up a rifle to serve the country," Noh Woong-rae, a senior member of the ruling Democratic Party, told a party meeting on Monday in comments that received widespread media coverage.
Noh suggested BTS members could work as ambassadors in their overseas travels to promote a group of islets at the center of a territorial dispute with Japan.
His comments follow a proposal by fellow party member Jeon Yong-gi last month to revise the law so that some K-pop stars could delay their service until the age of 30.