The -li Ending, basically just the diminutive, is not necessary to convey the meaning. -br is "cold", -brot is "bread", -brotli is also "bread". I kind of like the whole archive.bread thing, but with the German sound to it.
Filename autocompletion is a thing though, and especially for .brotli files, which would likely be generated by something like `brotli uncompressed.thing`, the length matters very little.
modern filesystems can handle a few extra characters