1) That David had Saul’s wife with him when he was running from Saul would be a ridiculous claim. Yah did give him Saul’s wives, but not until after Saul was dead. Or that would have been David’s first instance of adultery, which didn’t happen because Yah didn’t list that one in the “except for” statement.The point behind this is to show Kings sometimes seem to get a pass to point to the fact women who normally cheat was put to death along with her male friend as a reply to @steve
“I gave you … your master’s wives” (2 Sam 12:8), Levenson and Halpern argue that David’s marriage to Ahinoam constituted a claim to Saul’s throne (see Absalom’s actions in 2 Sam 16:22). Perhaps David, like other kings who appropriated the harems of their predecessors or rivals, strengthened his claim to the throne in this way.
And King Solomon gave offerings to fake gods and was not put to death so he got a pass on that as well.
Deuteronomy 13:6-10 specifically prescribes the method of execution to stoning
If your very own brother, or your son or daughter, or the wife you love, or your closest friend secretly entices you, saying, "Let us go and worship other gods" (gods that neither you nor your ancestors have known, gods of the peoples around you, whether near or far, from one end of the land to the other), do not yield to them or listen to them. Show them no pity. Do not spare them or shield them. You must certainly put them to death. Your hand must be the first in putting them to death, and then the hands of all the people. Stone them to death, because they tried to turn you away from the Lord your God, who brought you out of Egypt, out of the land of slavery.
So that clearly establishes that there were at least two women with the same name, and out of the millions of women, you cannot convince anyone that there weren’t more.
So it is a nonsense claim.
3) As far as Solomon not being stoned for worshiping other gods, it seems that many were backsliding (is that even a concept nowadays?) right along with him and a righteous culture was not there to carry out the required punishment. It was a cycle that Israel went through multiple time without evidence that the penalty being carried out. Yah usually stepped in when it had gone long enough and allowed the nation to be conquered. Something that we would do well to remember in our own lives.
Remember that David’s son rebelled and the penalty was stoning also.
Penalties existed, there wasn’t always a culture that was willing to carry them out. What is interesting is that, in spite of the harshness of the penalty, Yah didn’t consider David’s failure to carry out the punishment a big enough infraction to list against him.
So you haven’t established your claim that Kings were treated differently by Yah.