Not sure if I agree. Just add a few benefits paying digital and people are easily seduced. Get discount by paying by 'electronic', no fees if paid electronic, simply no register in the bus/train, ATM withdrawal fees, etc. You get the picture. Cash will not be banned from the one day to the other, it will simply slowly disappear. Voluntarily.
I reckon it varies hugely from country to country. Nordic populations are inclined to be weirdly trusting of their institutions so going cashless is likely to be very smooth. I don't think the same can be said for the US or plenty of other places.
And I don't think much scepticism will be down to mistrust of government, more down to convenience. There are countless millions of grannies who still refuse to shop online or use cards. In the UK they tried to phase out paying by cheque but had to give up when they realised how many people still used them.
I can see it being a natural process as older people die off. Dunno how effective forcing it will be.