Thing is, Remain brought out all the economists and the global bodies and businesses' CEOs who all said "don't do this, it will be disastrous, stock market will fall, your currency will be devalued, imports will be more expensive, it will cause inflation and a recession, banks will stop lending money" and threw some huge numbers about.
But (and I'm not trying to be disrespectful here), but the typical person living in a council/HA house doesn't understand economics, at least not in those terms.
To them, the FTSE is just numbers on a screen. Currency exchange rates, ditto. They don't understand the real impact on them of the BoE has to cough up 250bn to shore up our whole financial system. They don't appreciate that that money has to come from somewhere; taxes or borrowing at higher rates, and that has an impact on the state.
The Remain campaign didn't translate the warnings into plain English for those who haven't had the education to understand it, and aren't able to research it themselves. They needed to translate that into what would the impact be on social housing, benefits, those in low-wage and insecure jobs if the big MNCs who employ them move elsewhere, losing EU investment in the regions and how all that has benefitted them. Etc.
Well, I suppose Osborne did try, but in a quite threatening way. Which totally backfired.