I have also come across a huge "not for the likes of us" attitude from many people - university is for mugs, for people who are stuck up, why do you need an education anyway, do you think you're too good for manual labour, are you saying there's something wrong with working in a factory/warehouse/shop your whole life?
Reverse snobbery is absolutely a real issue. As you say, there's going to be a lot of parents who generationally have been taught "I never went to university/had an education, it hasn't done me any harm..."
What needs to be fixed is the default belief that university is the be-all and end-all. It's not.
I went to university, my husband didn't. Personally, I don't think I will be pushing my kid into uni unless she really wants to go. I'd rather she did an apprenticeship or something where she can learn and earn.
What needs to be resolved is perhaps options for training in non-academic careers. Where's the financial support/training available to help kids become lorry drivers/bus drivers? What help is available to train someone up to become a plumber/electrician or other tradey? Those job roles are just as essential.
The writer of this article was so patronising and unable to see any other perspective, it was embarrassing to read.