"but it also reduces the public's access to information"
A) What information does it supposedly reduce? I'm pretty sure you can tell me that something happened without showing me a video. Did you know that there was a 3 car pileup on route 3? Why no I don't because I haven't seen a video of it!
It's a video. It's a lot harder to lie or twist or exaggerate an event that is on video, so it is of value as trustworthy information.
(Not to be confused with how it is much easier to lie or confuse with in-person, video, or audio, than with text)
B) Removing the video caused the information to proliferate more due to the Streisand Effect. I literally hadn't heard about the incident until all the fuss was raised about the removal of the video.
Each time censorship happens, less and less fuss will be made about it. How many billions of headlines per day do you hear about censorship in China?