I suppose it is a matter of perspective. Augustine made exactly the opposite conclusion---that all supernatural processes are really natural.
We admit that what is contrary to the ordinary course of human experience is commonly spoken of as contrary to nature. .... But God, the Author and Creator of all natures does nothing contrary to nature; for what is done by Him who appoints all natural order and measure and proportion must be natural in every case.
~~
Reply to Faustus the Manichean 26.3
Although you and Augustine seem to be poles apart, I think you are actually agreeing with each other. You call all God's doings supernatural--even those we ordinarily call natural; and Augustine calls all God's doings natural--even those we ordinarily call supernatural.
Where you agree, it seems to me, is that in God a distinction of natural and supernatural is unwarranted. Whether natural or supernatural, it is all God's creative and purposeful work.
That is something any TE would agree with.