Not necessarily. If a given society is influenced/culture enough by a given state and mass media/peer pressure, many such parents would be more than happy to send their kids off to fight.
Some examples from history include Revolutionary France*, French Republics not only for the World Wars…but also its numerous colonial ones, the British empire during both World Wars, Korea, and decolonization period of the '50s/early '60s(When British National Service ended), Prussia/Imperial Germany, Imperial Japan, Imperial/Fascist Italy, etc.
Keep in mind that draftee soldiers in the US and other nations have been quite effective when heavily motivated for a cause. This has been shown by Revolutionary France’s/Napoleonic draftee army’s effectiveness in defeating the professional armies of various European nations including the Holy Roman Empire’s and Prussia’s in the late 18th and early 19th centuries and if we want to invoke the US…its armed forces’ abilities to defeat more experienced/battle hardened armies of the Axis powers in WWII.
It is also not necessarily a guarantee against military adventurism as the French Republics’ use of draftees to build and fight its colonialist wars in the 19th and 20th centuries, the British efforts to hold onto their empires/decolonization in the late 40s-'60s, Imperial/Fascist Italy’s efforts at empire building during the late 19th century** and the 1930s in Africa, Imperial Japan’s empire building from the 19th century onward, etc has shown.
- Revolutionary/Napoleonic France was the first nation to implement a modern nationwide draft of practically all male citizens in the late 18th and early 19th centuries.
** During which they were seriously defeated by the Ethiopian Empire at the Battle of Adwa(1896) which they assumed were easy pickings because they were “superior Italians” fighting against “inferior Ethiopians”. A factor in the viciousness of the second Italian invasion of Ethiopia in the 1930’s…especially after they felt the need to resort to using chemical weapons when they found their second attempts at conquest weren’t going quickly enough.