At the end of the episode with Noah, -- the end of Genesis 8, and all of Genesis 9--- God makes a covenant with all the living things on earth, and with Noah and his family, telling Noah to let all the wild animals come out and mate and breed and fill the earth. He also pledges, on His part, not to send another devastating flood. That clearly shows that God values the lives of all His creatures, and enlists man in His efforts to save them as well.
The whole of the Creation story shows that God thinks everything He made is good. That in itself would be a strong indicator that we should avoid wanton or reckless destructive behavior.
****************************
Exactly right. God gave us this wonderful gift, and to destroy it would be an affront to His generosity.