Considering legacy social media often allow a display-name differing from the username, i'm not sure this will have a very different effect on online communities then what we can already observe in contemporary impersonation scams. However, vigilance has always been necessary online, and is probably going to be all the more important in a context of DID/SSI/VCs
The way i see it, paltform leveraging DID/SSI/VC will have the burden of responsibility to provide meaningful ways for users to verify the authenticity of their peers. "Responsibility" being avoided at all cost in most commercial online contexts, i'm expecting it to be a painful process to begin with. It will boil down to how well we do as communities, and as a specie, at transferring knowledge among us.