Yes you do, you also get the coffee even without the irrigation, but naturally not the gold nor any oral tradition bonus.
Love the river through the Dead Sea, a bit of a fail there... natural aqueduct?
I would certainly consider settling in place, that +1 culture with the promise of +4 additional if only you could grow fast.... yes you can!.... and you also have a river next to you +fair production and salty pearls. Just no chopping potential.
It's a natural growth city for early culture spurt that will eventually grow early placed districts once culture is less vital.