During a draft I copied my opponents' Phoenix, Warden of Fire with two Lore Counters with Relm's Sketching. I got a Phoenix token as expected with one lore counter on it. I passed the turn. At the start of their turn their Phoenix reached three counters, returned some creatures from their graveyard to the battlefield, got exiled and returned face up. At the same time my own Phoenix was exiled, which should not have happened.