I speak as an Australian. My father fought in World War II and served in the Cold War period without seeing combat.

Vets of Korea were treated poorly. This was due to a combination of factors: in the nuclear age, governments were reluctant to whip up 'war fever' that made civilians identify with their soldiers and hate the enemy; veterans' organisations (in Australia, the RSL) were filled with WW2 vets, who tended to downplay the risks of fighting in Korea- in Australia Korea wasn't a war but a 'police action'. Finally, the UN did not really pursue victory in Korea (thankfully, as this risked nuclear war) which left the nations involved feeling ambivalent about their participation, and unable to fully embrace the justice of the cause.

For Australia, this experience was repeated with more emphasis in Vietnam, soldiers being protested against, and told to avoid wearing their uniforms in public. For Australia it was the re-examination of their experience in the 1980s that changed things for all veterans of post 1945 conflicts. I recently heard a Vietnam veteran interviewed, he said things have changed completely and when he talks to young people he sees their interest and respect.