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Emacs 26 (and 28.0.50, so I presume 27 as well) recognized .tbz2 as a suffix for a bz2-compressed tar archive and does the right thing. That's with -Q so it should the case generally. Not sure about 25.
dired-compress-file-suffixesanddired-compress-files-alistin filedired-aux.elthen define your own custom suffix\\.tbz2\\'.tbz2as a suffix for a bz2-compressed tar archive and does the right thing. That's with-Qso it should the case generally. Not sure about 25.