Hello,
Currently, it is not possible to include MAME in fully free distros due to the trademark issue of your name and logo. As you may remember, Mozilla FireFox had to be rebranded as IceWeasel on Debian for similar reasons. https://en.wikipedia.org/wiki/Iceweasel
If possible please consider releasing the logo and name from trademark so that it will be fully compatible with free distributions. (e.g. Debian and others.)
https://www.gnu.org/licenses/license-list.html#GPLCompatibleLicenses
https://www.gnu.org/prep/standards/html_node/Trademarks.html
Thank you for all your hard work thus far, and I look forward to seeing MAME packaged into mainline distros in the near future. :)