That argument falls flat, when considering regions like the Ukraine that are fighting for survival today.

And when contrasting with earlier times like the Civil War, where a draft was unpopular: https://en.wikipedia.org/wiki/Enrollment_Act

Drafts, and by extension wars, should be unpopular. War should be the last resort that no one wants to take. No one should be cheering for a war they won't have to participate in.

War has become too remote and comfortable for most Americans.

I don't think I follow why your examples contradict the argument. A draft will always be unpopular.