So the oppressive group in this case is men (regardless of their social status, ethnicity, class, etc.) men are as whole an oppressive group?
But Syrian refugees aren't. They are in fact the opposite. They're a marginalized group.
How about male Syrian refugees?
In social justice viewpoint, marginalization/privilege is not a linear scale, but more a three-dimensional axis. As in you can be oppressed in one area but not in others.
Agree with it or not, the idea is to take that that you can be simultaneously marginalized and privileged in different fields. Example:
In the USA, African-American men are more likely to be followed in stores by employees concerned about shoplifters than white women, but white women are more likely to be sexually harassed by strangers than African-American men.
As to the original article, there are definitely problems with the candy analogy, although the OP seems more like he's trying to pick a fight or has an axe to grind than making a point to new and/or uninformed parties.