Giving more publicity to these people and their ideas is sometimes what pushes people to do things like this in the first place, so cutting down on the spread of that sort of information could help minimize future occurrences. That being said, I doubt Reddit is being so benevolent as for that to be their reason, they probably just don't want the possibility of bad press.
Note that the shooter may be named Aiden, not Audrey - I have yet to find a news source explicitly stating which is their legal name as opposed to the other. This can make it frustrating to find articles about the shooting, so I recommend just using "Hale".
The evidence seems pretty damning from what I've read. Confirmed authentic by Nashville police, too. Big tech and the media seem to be scrambling to cover up and censor the manifesto story as quickly as possible. Make of that what you will... but if this were a right wing terrorist, it'd be news the world over, and nobody would have had an issue with it. The writings shown in the leaks make it very clear that the shootings were racially-motivated - and had been planned for months.
Damning in what way? It's already certain that they were guilty. The rantings and ravings from 3 select pages of a journal don't really do any credit to anything.
A court has ordered that it not be published, pending litigation. The places that have published it have done so on very dubious legal grounds.
Free speech has limits - you can't shout "fire" in a crowded theatre - and free press has similar limits. The public interest should be first and foremost, not ratings or clicks.
You cannot tell me with a straight face that if the suspect's political ideology were far right, that the media and large tech platforms would be employing the exact same response. This isn't a matter of legal proceedings, it's glaringly-obvious demonstration of what mainstream media and their counterparts will do in order to silence any story that may damage the credibility of their beliefs. This was an anti-white hate crime. It is being suppressed. If this were an anti-black hate crime, it would be covered worldwide, court orders be damned - and you know it.