/usr/share/a11y-profile-manager/profiles/ is in mate-accessibility-profiles 0.1.10-0ubuntu3.
This file is owned by root:root, with mode 0o755.
..
/usr/share/a11y-profile-manager/profiles/mate-blindness/
/usr/share/a11y-profile-manager/profiles/mate-blindness/profile.gsettings
/usr/share/a11y-profile-manager/profiles/mate-blindness/profile.manifest
/usr/share/a11y-profile-manager/profiles/mate-braille/
/usr/share/a11y-profile-manager/profiles/mate-braille/profile.gsettings
/usr/share/a11y-profile-manager/profiles/mate-braille/profile.manifest
/usr/share/a11y-profile-manager/profiles/mate-high-contrast/
/usr/share/a11y-profile-manager/profiles/mate-high-contrast/profile.gsettings
/usr/share/a11y-profile-manager/profiles/mate-high-contrast/profile.manifest
/usr/share/a11y-profile-manager/profiles/mate-motor-difficulties/
/usr/share/a11y-profile-manager/profiles/mate-motor-difficulties/profile.gsettings
/usr/share/a11y-profile-manager/profiles/mate-motor-difficulties/profile.manifest
/usr/share/a11y-profile-manager/profiles/mate-onscreen-keyboard/
/usr/share/a11y-profile-manager/profiles/mate-onscreen-keyboard/profile.gsettings
/usr/share/a11y-profile-manager/profiles/mate-onscreen-keyboard/profile.manifest