The “Vietnam era” veteran is a caveat applied to anyone who was in the military during a specified time period, whether stateside, Europe, WestPac or Vietnam.
https://www.veteranstodayarchives.com/2009/07/28/the-definition-of-a-vietnam-era-veteran/
A Vietnam war veteran is one who was in country or operationally flew over it and off shore conducting opertions on ships, boats, or subs.
There was also a Vietnam era retirement benefits package as it related to educational benefits but that got whittled away and folded into the Montgomery GI bill.
In the video clip at #17, Chief Stolen Valor clearly states he was a “Vietnam veteran.” Not era, or time.