The earlier ones all did, as far as I can remember, and they were made before the dark night of the soul phase. The few I have doodled more recently are oval-free, and are post (or at the tail end of) the dark night phase.
I wonder if the oval somehow represented a subtle sense of I. There was a sense of accomplishment and arrogance that went with that awakening phase, although I could see it clearly and that it came from delusion. There was also an attachment to phenomena in the form of a certain magical atmosphere and bliss.
Then, there was an invitation to radically let go of any attachments to these ideas – to the remaining idea of I, to any atmosphere, to bliss or absence of bliss. And this invitation took the form of a long dark night of the soul, where all this was – apparently – taken away from me. Where I was plunged into the absence of all this. Where there was no material for any sense of accomplishment or arrogance. Where there was no magical atmosphere and no bliss.
Now, at the tail end of this phase, the oval does not show up – at least not in the few doodles so far. There is the physical body, the energies of grounding, the clear energies going through the heart area, the mental aura, a vortex some feet above the head, and that is about it. There is just clarity and an absence of any borders outside of the human self.
(Maybe the earlier drawings reflect an F6-F9 awakening – centaur, nature mysticism, deity mysticism and witness awakening. They were all definetely strongly present, and with a relatively clear seeing into the nondual. And the newer doodles reflect more of a nondual awakening, although it is definetely not quite emerged and popped yet.)
Who knows. These are all just stories anyway. The drawing are energy stories. These interpretations are also just stories. Just abstractions added to the simplicity and clarity of what is.