At least in the UK I believe that your search history over the last 12 months is accessible by the police. So if for whatever reason you become under investigation it is sensible to ask yourself what the police would think about what you searched...

That’s sad

They are subjects, not citizens

Not sure what you're aiming to imply without saying there.

But you're mostly wrong. The majority of people you would call British are classed as citizens, not subjects:

https://www.gov.uk/types-of-british-nationality

Subjects not as in the formal status, just as in "subjects of the crown", as a ruled class.

No, it isn't. You can ask google whatever you want, and no "red flags" are being raised, this isn't the Bourne Identity. Police barely have capacity to arrest criminals these days, nobody is checking if you download the anarchist cookook ffs.

If you get arrested for child porn, will police get your google search history and check you haven't googled bad things? Sure.

> Police barely have capacity to arrest criminals these days,

Unless you piss off the wrong people that is. Selective enforcement is very much a thing.