Yes, this is exactly my point. That's what he was mocking Schickel for.
I don't take "war makes fascists of us all" in this context to literally mean there is never any justification for war. Of course not. And as you say, one would have to be pretty ignorant of Verhoeven's work and background to think that. ("Duh.")
But rather that even during a "Just War", people have a bad tendency to slide into regressive militarism, nationalism, jingoism, hatred, and excessive deference to authority. Verhoeven went on at some length that this wasn't just about the Nazis but was a criticism of America. Here's another quote from that review you linked:
"Another good quote from Verhoeven, discussing where the movie is trying to locate fascism: “You could of course say that these kind of statements [the film makes about fascism] are not so much going back to the Third Reich, I would say. They are much more statements about American politics. I mean, the whole movie is about the United States. All statements are about the United States.”
By "us all" in that phrase he means specifically the US and those other nations which were "the good guys" in WW2. Which was part of the point of him referencing US war propaganda like the "why we fight" reels.
Which was already a topical point post Desert Shield/Storm, the Gulf War, given the strong effort in the media and contemporary society to laud our military as heroes during that (itself a reaction to how they were viewed during and after Vietnam), but became even more relevant a few years later with the GWoT.