The analogy is not false. Trudeau was conscripted but was never required to serve overseas and did not volunteer unlike the majority of young men of his age. There was no conscription in the US during the Vietnam war, only the draft, which was very different than conscription in Canada during World War 2. Like Trudeau, Trump did not volunteer.  Both did everything they could to avoid fighting for their country. Trudeau and Trump are exactly alike whether you like it or not.