I get your point, but this is the problem with trying to use any analogy to explain God or the actions of God.
Think of another analogy: Suppose you have two boys, Billy and Johnny. You tell them, "Don't touch those matches over there or I'll spank you." Billy plays with the matches and you're about to spank him, when Johnny says, "Don't spank him, Dad! Spank me instead!" You spank Johnny instead. Questions: Have you accomplished anything good by spanking someone other than the 'perpetrator'? Has justice been served? Is the purpose of justice simply to have someone -- anyone -- pay a penalty for a bad action?
In this case it would be a simple rule "don't play with matches" and the rule is made by an imperfect man. The man could easily ignore his own rule and let his children off without punishment. His credibility may be damaged, but he could live with that.
We have no way of knowing what catastrophe would happen in the universe if God would break His own law. Suppose God needed to change the rules keeping planets, stars, comets in their proper orbits?
I know this is not a very good answer, but I also know that you can analyze the problem of God allowing His perfect laws to be broken without consequences.
God gave the first couple just one law, we do not know why, exactly, but we can assume it was to see if they would be trustworthy before giving them eternal life. They failed that simple test, the one tree was not necessary for their food, they already had everything else in that paradise to use for food. They believed a liar, and wanted to be like God themselves.
If, at that point, God would have just excused them, what would have been the result to the entire universe? We can only guess. As it turned out, according to the bible, many of the angels rebelled against God and followed the liar. Had God not lived up to His word in carrying out His sentence on that first couple, He too would have been a liar.
The sentence was not pronounced against Adam's children and descendants. God was not punishing children, grandchildren, etc. Imperfection was now in the human genes and passed on to all following generations, not because God had failed, or, because He was hateful, but because our first parents brought imperfection into the entire human race.
God, because of His great love, then set into motion a way to remove the sentence of death brought on the human race by that first couple. I think that is an extremely loving act for God to do. He was under no obligation to make such a way for us, He could have just prevented the first couple from having children, then when they died, He could have started all over again, but, none of us would have had life.
Who made mankind to be inherently sinful, namely, inherently incapable of fully obeying God? God himself did! Therefore, God's punishing mankind in various ways for being what God made mankind to be is stupid, wouldn't you agree?
I cannot agree with you, God made mankind perfect, with freedom of choice. They were fully capable of obeying God, they chose not to.
I do not see it as God punishing mankind for how He made us. We, since that first couple, have no choice, we are born sinners, that is the reason for God's working out the way to save us from a penalty we had nothing to do with, without breaking His own laws.
I am a believer in the trinity, so I believe that, as the bible says, Jesus, as one of three persons of The God, created everything. That means Jesus created us, so, our Creator actually took on human form and gave His own life to pay the cost of our sinning, because we were born into sin and had no choice.