When you're playing supports, particularly off-meta ones, you have to ask yourself "what utility do I provide?" and remember that you're going to be more or less useless outside of that utility since you have no cs/kills in theory. I'll play almost anything support (luc, kat, yi all seem useless utility wise) as a result, but in most case theres a pretty good reason why off-meta picks are off-meta.
Morde offers a situational movespeed boost, and some limited healing for a teammate. Not exactly a stellar resume for a support compared to other options.
Ekko I'd consider messing around with as a support and could see it being semi-viable. Still better options (e.g. meta stuff), but probably workable, as he has a slow, and an aoe stun, the latter of which is pretty high utility.