Just for label’s sake, yes, but the problem is that many who believe in TE would answer naturalistic evolution because they take issue with God having to go along and fix it, they believe what we see in nature is how God did it (I say “they” but this is my camp).
What you are saying really does hit at some of the disagreements though. There are some in various camps who immediately damn those in other camps as ‘atheists’, etc, simply because they don’t believe in the same timeline. They spend more time attacking other Christians than they do actually promoting Christ.
So even some of those in the right-hand side of the chart believe in God, just not that He did any intervention along the way in the evolutionary process.
Makes sense. Another poll says that 92% of Americans believe in God. If we take that at face value and try to merge it with the information above, that 92% would cover all of the blue and red blocks, and about a third of the yellow one.
Christ is the point of the disagreement. To be that perfect one and for all time blood sacrifice, tracked from generation to generation to a precise appointed time, and born of a predestined individual from a particular lineage will not fit in the evolutionary time chart.