No, they will definitely not think. Govs/politicians/people in places of power are so arrogant that they will continue the BAU. They will pass another stricter "patriot act/snooper charter", they will issue a tougher gag order, and they will continue as they already do. They will increse the penalties for violators, but they will not stop. The "beast" has a hungry mouth, and it needs that info.
When was the last time we saw someone with power just turning the volume down? Never. Only if they get a hard slap in their faces, they pause for a minute, then they change/re-org and continue in a new method/under new legislation, and life goes on.
Even in an ideal (human) society (I like to use the "Star Trek TNG" in my examples), someone(s) has absolute power into reading private encrypted messages, and we just see a wise Jean-Luc (Sir Patrick Stewart) that does not abuse his right/privilege. But he does have the access.
You are dealing in absolutes. Let me put is way. In dictatorship non-free spy hungry US the cost of making a request to a private company for a government official is much much higher than the same request in for example China.
Because of checks and balances and more or less working elections and free press and now the free internet.
When request is harder to make, the government makes fewer requests, that’s it.
After what has happened to Snowden and Assange? I hope the leakers share your blind optimism. Snowden literally had to flee to Russia, of all the countries in the world, for political asylum.