Since you mentioned Lubuntu, they have this in the desktop seed:
$ apt-cache depends lubuntu-desktop | grep fcitx Depends: fcitx Depends: fcitx-config-gtk2 Depends: fcitx-frontend-gtk2 Depends: fcitx-ui-classic
Without having tested, I suspect that something like that is what's needed to actually be able to use Fcitx easily in a live session.
Since you mentioned Lubuntu, they have this in the desktop seed:
$ apt-cache depends lubuntu-desktop | grep fcitx
Depends: fcitx
Depends: fcitx-config-gtk2
Depends: fcitx-frontend-gtk2
Depends: fcitx-ui-classic
Without having tested, I suspect that something like that is what's needed to actually be able to use Fcitx easily in a live session.