IPFS is closer really, but doesn't move in an anonymity friendly direction at all.
Not really "no server". I mean, Freenet users collectively are the servers. As in BitTorrent, I2P and IPFS.
What Freenet does better than Tor is keep content available, even if the provider goes away. As long as it's popular content, that is. Although Tor .onion services are perhaps harder to find, once they're gone, they're usually just gone. There are exceptions, of course, such as the The Hidden Wiki. But any mirroring that happens is entirely ad hoc. In Freenet, it's automatic.
That difference in model is what provides a potential anonymity benefit as there's no longer a path to the origin of the content