I do not believe that it does. I have never seen it...
And doing a quick net search suggests that there is not one.
This may change in the future as there is a growing trend toward doing so.
Distro Developers wish to set their distro apart by being different or offering something different than other distros. There are two basic ways of doing this: The Desktop Environment and what software is included. A minimal install resists what software is included... so Distro Devs would prefer to resist Minimal install.
It is what makes a minimal install option on Zorin OS Pro kind of an oxymoron.
In the below summary, Included the list of Cinnamon D.E. Specific icons. I just compiled this list based on my own icon sets that I have made - so please let me know if any are missing.
I am also keeping a copy of this list saved since I should have made one long ago to save myself headaches...
Summary
Actions:
nemo-auto-arrange
nemo-horizontal-layout
nemo-vertical-layout
nemo-horizontal-layout-wide
nemo-vertical-layout-wide
nemo-eject
Apps:
cs-applets cs-backgrounds cs-bluetooth cs-cat-admin cs-cat-appearance cs-cat-hardware cs-cat-themes cs-color csd-a11y-keyboard
csd-a11y-settings cs-date-time csd-automount.svg csd-background csd-clipboard csd-color csd-cursor csd-datetime cs-default-applications
cs-desklets cs-desktop-effects cs-desktop cs-details csd-housekeeping cs-display csd-keyboard csd-media-keys csd-mouse
csd-orientation.svg csd-power csd-printer.svg csd-print-notifications.svg cs-drivers csd-screensaver-proxy csd-sound csd-wacom csd-xrandr
csd-xsettings cs-extensions cs-firewall cs-fonts cs-general cs-input-method cs-keyboard cs-language.svg cs-login
cs-mouse cs-network cs-notifications cs-online-accounts cs-overview cs-panel cs-power cs-privacy cs-region
cs-screensaver cs-screen cs-session-properties cs-software-properties cs-software-sources cs-sound cs-sources cs-startup-programs.svg cs-tablet.svg
cs-themes cs-tiling cs-universal-access cs-user.svg cs-windows cs-workspaces
csd-a11y-keyboard csd-a11y-settings csd-automount.svg csd-background csd-clipboard csd-color csd-cursor csd-datetime
csd-housekeeping csd-keyboard csd-media-keys csd-mouse csd-orientation.svg csd-power csd-printer.svg csd-print-notifications.svg
csd-screensaver-proxy csd-sound csd-wacom csd-xrandr csd-xsettings
Categories:
cs-universal-access
Places:
cinnamon
cinnamon_badge
