It doesn’t really matter to me, but in the past, yes, we did count the relic card. Every card except Nymphs, Marks, and special paid-for foil cards (e.g. upped Chimera) counted towards the total. Basically, cards that required you to play tournaments, pay money, or get lucky on daily spins didn't count towards the total, everything else did count. If you could grind to get it, you needed to get it.
But if you all thought we shouldn’t count the relic card since it’s useless (at least as far as I know), then that’s fine by me.