I worked for a company that sold high-end imaging equipment.
They had distribution networks, authorized to carry their brand.
But there were also “gray market” distributors, that would do things like resell foreign market gear, or devices that were separated from sales promotion bundles.
These were our brand, but the company would not support them. No hardware fixes (unless paid), no firmware upgrades, and no marketing support.
Often, the savings were minimal. It was expensive gear; even at a discount.
whichever one(s) the owner of the name "firefox" allows to be called firefox. Open source code does not automatically mean you get to use the name of the project in your redistribution of it.
By using the brand on something else, the reputation can be damaged