From what we read in the Bible, the depravity of humans was so great that God tried various ways of changing humans back to His heavenly will.
The flood didn't work, because immediately afterwards Noah sacrificed some animals, and God concluded that humans were evil from their youth Then He tried to limit their evil actions through the Law and various concessions, which you referred to. This partially worked, but the people didn't turn back to God in their hearts.
And from the Christian prospection, then God sent Jesus, and they killed Him, and as we know today, His compassionate teachings have been hijacked.
This is the reason we are working the way we are.
Our most effective way has been to emotionally shock the people with the horrors of what happens to animals, and then to immediately show them the truth about Jesus' teachings about living in the heavenly will of God, where there is no pain or mourning or death, which is also the true meaning and intent of dominion, as stated in Genesis 1.
In the Love of the Lord,
Frank and Mary