This seems to be a pub bore talking point... the usual seemingly-clever street-level arguments that don't stand up to serious scrutiny.
If people think that if they get ID card, the government is coming to take their precious bodily fluids, then the country has bigger cultural, political problems than a mere public safety measure.
Some of the UK's biggest industries are money laundering and offshore tax evasion schemes for the very rich. They're literally worth hundreds of billions a year.
It's not a pub bore talking point, it's an oligarch and non-dom talking point. A lot of rich people would be inconvenienced if beneficial owner information records had reliable links to real people.
The pub bores are collateral damage - people who post unironically about privacy on social media.
If people think that if they get ID card, the government is coming to take their precious bodily fluids, then the country has bigger cultural, political problems than a mere public safety measure.