Most people use their phones to talk about pretty banal things.
Honestly, the issue here isn't "most people's" banal talk. The effects of having such a huge cache of data on hand to get "leverage" on key people that the GCHQ doesn't like is the issue.
Criminals use Facebook. Not all criminals are intelligent.
But the sort of criminals that GCHQ is after, probably not.
That said Tor is used by criminals and that was developed by DARPA I gather.
Even if you think you don't have anything to hide from the government, you probably have plenty of stuff you want to hide from criminals.
People apparently need a written sign in the washroom to remind them to wash their hands. Keep that in mind.
That's actually a liability limitation exercise; if employees and attendees are prompted to wash their hands, their employer has less liability for effects of contamination.