Search engines weren't intended to be anything, they weren't designed up front by committee. They just ended up what they are. Twitter also wasn't intended to be the channel for officials to communicate with the public, nor Facebook the ultimate Yellow Pages, nor was Google Maps commissioned to become the world's most popular GIS.
You could argue that preserving public goods is the task for the government and yes, we shouldn't insist that private companies do their job for them. But here, we have a company that wants to do that job out of its own will, and the governments insist they stop.
You could argue that preserving public goods is the task for the government and yes, we shouldn't insist that private companies do their job for them. But here, we have a company that wants to do that job out of its own will, and the governments insist they stop.