The default system (Trisquel 7, Trisquel Mini 7 or the NetInstall) or the
desktop environment (GNOME, MATE, LXDE, etc.) should not make a difference:
the repository is the same, i.e., the same packages in the same version are
available for installation.
Notice that most of the developers who used to work on ownCloud now work on
Nextcloud, a fork. This should be useful:
https://docs.nextcloud.com/server/11/admin_manual/installation/index.html
A maybe easier way to go is to install the Debian-based distribution named
YunoHost (do not enable contrib and nonfree of course): https://yunohost.org
One of the available "app" in YunoHost is ownCloud.