From the relevant wikipedia page:
"After its convention in early 2011 mid-way between general elections, the FPÖ had a support in opinion polls of around 24-29%—at par with the SPÖ and ÖVP, and above the BZÖ. Among people under 30 years of age, the FPÖ had the support of 42%.[61][62] In June 2015 the main part of the federal party section of Salzburg split of and formed the Free Party Salzburg. [63]"
https://en.wikipedia.org/wiki/Freedom_Party_of_Austria
Presumably a fair chunk of those voters would describe the situation as the GP quoted. Not hard to believe at all.
(And 'under 30' is definitely not 'old people')
Painting yourself as the victim is a tried and true strategy of nationalist parties. After all, someone else has to be blamed for whatever is wrong it would not do to seek fault with yourself. I'm sure they were taught different in school but that won't stop people to believe whatever it is that supports their desired outcomes most, even if that goes contrary to their education.
I don't like the generalization to all Austrians, that makes absolutely no sense. But some Austrians, quite probably and with 30% voting for right wing nationalists quite a few of those would be under 30.
We have a similar dumb thing going on here in NL with a guy called Wilders. He's managed to enlist the young people with his brand of scapegoating and populism and most of what those people believe would leave a student of the run-up to WWII horrified. That doesn't mean all Dutch people are Wilders followers or fans but I would not rule out any demographic from being his supporters.