False.
Taken from official WH yt channel.
https://www.youtube.com/watch?v=Ec3mkoSWf0A
A good question to ask would be why the official White House channel is setting vids as unlisted
Shouldn't anyone be able to search official vids from the president?
Remember, Trump wasn't allowed to do anything to block or privatize Twitter messages, why should Biden be able to on YT?