That has nothing to do with privacy.
Really? The debate in the UK was everything to do with privacy when ID cards were protested against. Please see
news.bbc.co.uk/2/hi/uk_politics/7441693.stm
We certainly do not have to carry any ID in England & Wales, and that includes no need to carry a DL. And we had our Data Protection Registrar legislation from the start, having been set up in the early 1980s. Yet relatively few are ex-directory in Britain, unless there has been an accelerating trend in recent years.
I haven't given my number out either but I still get marketing calls, at least one a week. Most of the marketers can't speak English and hang up when I tell them I don't speak Polish. A small proportion seem to be automated recordings.
Even the folks back home in the USA don't like ID cards
aclu.org/technology-and-liberty/5-problems-national-id-cards
A national ID system would threaten the privacy that Americans have always enjoyed and gradually increase the control that government and business wields over everyday citizens.
Invasion of Privacy: Arizona State to Use ID Cards to Track Studentspolicymic.com/articles/12254/invasion-of-privacy-arizona-state-to-use-id-cards-to-track-students
The mods will bin this if we deviate off topic any further, so I'll rest it here. Be sure, however, we take privacy very seriously in the UK (hence the rejection of ID cards) and yet we still expect to be found in The Phone Book and few bother to opt-out and go ex-directory (although that number may have increased in recent years, I grant you).