I want to think further but my first reaction is that your modification definitely improves an otherwise questionable analysis.
What I want to think further about is whether it makes sense to elevate the "is it in my control?" to a first level division, and I am not sure that the natural and necessary deserves that either.
If the topic of the chart is "basic method of thinking" then I suspect the tree needs to be pulled up from its roots and reoriented toward keeping in the central focus the only criteria nature gives us to decide among what to choose and to avoid.
After that, There are likely many other questions to ask and considerations besides whether something is in your control and whether it is "natural" or "necessary"
I agree fleshing out charts is a very useful exercise.