The tree did nothing.
Do you also "venerate" the nails, the ropes, the hammer, the arm that drove the spikes, the hands the beat Christ's face, the whip that tore open his back, the bowl that Pilate washed his hands in? Where does it stop? Indeed, where does it begin?
The cross itself isn’t God, but God died on the cross for us. He suffered the most humiliating death and dishonor for your and my sins.