Shutting down backpage.com was obviously a mistake. It was a centralized location to advertise illegal services. Everybody knew it existed, it was hosted, owned, and financed in the US and subject to court orders and subpeonas.
Now another site will pop up shortly, either in a jurisdiction that doesn't answer to US law enforcement or, eventually, as a Tor hidden service. Prostitution and human trafficking volume won't be impacted except in the very shortest of terms. Just a stupid self-defeating response from our politicians.
The right answer would have been to leave Backpage's sex services classifieds up and pay for law enforcement to review the site on a regular basis. Control and regulate. Don't force your primary information asset to relocate to a less accessible location.