Companies generally already do this with non-FISA "National Security Letter Requests" - Apple received between 1 and 499 between January and June 2021[0], and Google received between 500 – 999 in the same time frame[1].
Of course, this is nothing like allowing arbitrary content censorship in collaboration with law enforcement, which would indeed trigger a lot more outrage and bad PR.
0: https://www.apple.com/legal/transparency/us.html
1: https://transparencyreport.google.com/user-data/us-national-...