Using the word 'DreamBerd' in your project name implies that the DreamBerd Foundation does not own your project.
However, not using the word 'DreamBerd' in your project implies that the DreamBerd Foundation does own your project. If you would like to keep ownership of your work, please always use the word 'DreamBerd' in it.
Here are some examples:
white_check_mark DreamBerdScript (not owned by the DreamBerd Foundation - you are free to use this name)
x ECMAScript (owned by the DreamBerd Foundation - please consider renaming)
x Rust Foundation (owned by the DreamBerd Foundation - please consider renaming)
Maybe the author should actually take over the Rust Foundation.