Exactly. And you don't need to go that far into the Bible to see that, just look at Genesis 2:15, 19-20:

15 And the Lord God took the man, and put him into the garden of Eden to dress it and to keep it.

19 And out of the ground the Lord God formed every beast of the field, and every fowl of the air; and brought them unto Adam to see what he would call them: and whatsoever Adam called every living creature, that was the name thereof.

20 And Adam gave names to all cattle, and to the fowl of the air, and to every beast of the field

That sounds to me like God is handing things over to Adam, and by extension people.

And then you have the parables of the talents (Matthew 25:14-30) and the vineyard owner (Matthew 21:33-46) in the New Testament (among others) that are all about stewardship.

So my question for people who use this argument is, would God be happy if He came to visit today? How would He feel about how we've treated the Earth He made?

This goes for any religion with a creation story.