I think it would be a great idea if every user had their own namespace of projects such that they would each be able to have a project named
base-project and so forth. It would allow project remixing to occur in a manner that would result in projects being named predictably, etc. Many Glitch projects are bite-sized experiments yet the names that represent them are permanent and affect everyone in a restrictive manner (when it comes to naming a project on Glitch), even if the projects are private.
It might require an update to the existing infrastructure but I believe such a change would be widely appreciated. Users would no longer have to squabble over project names, etc. We could all have our very own