If you play this without pillars, or you lose pillars with a Statue in play, it dies like a spark, but just like spark it will deal damage once (if you have any permanents that is).
And buffing it with anything increasing hp secures it. So if you must, use Veteran's Amulet to rescue your Statue.
Still, hopefully EQ decks don't usually come with damaging spells, only BB and rewinds.