The content of our communications is the matter under consideration i.e the content of the envelope.
"If you tell me your name, I'm free to repeat that to whoever I want. If you aren't ok with public information being re-broadcasted, don't go outside."
to which you said:
"Actually in the UK it is covered by the Data Protection Act. Interesting times ahead. If you knowingly or unknowningly give personal information away without my consent this is illegal."
What you're saying now and what you said then are two different contexts.
https://ico.org.uk/for-organisations/guide-to-data-protectio...
Refers to Schedule 2: http://www.legislation.gov.uk/ukpga/1998/29/schedule/2
Additionally, there are "Sensitive" personal data: http://www.legislation.gov.uk/ukpga/1998/29/section/2
So if someone were to ask your computer "Do you know any trade unionists?" and it were to reply "I know this person. His name is batou.", and you weren't covered by the Schedule 3 exceptions, that would be an offence. This is an attempt at preventing employment blacklists.