It checks out, anon.
Yuyu and Toto avoided ever harming Cocona directly because they knew exactly what she was. In fact, the only time they ever actually cross weapons is when Cocona throws herself in the way of Yuyu's fist to protect Papika.
Them being along the same series of genetic production is why Yuyu refers to her as Cocona-oneechan and resents Nyunyu calling her Onee-sama.
Asclepius overreacted at the end of episode 1 when Cocona came back from Pure Illusion because the data available to them would have suggested her having another "Mimi" episode and needed to stop her ASAP. So they sent an army of robots and tranquilized her. Only after running tests they realized she hadn't reawakened and thought it was safe to leave her be. This is also why they thought their army of robots would be enough insurance should Cocona go berserk again.
Mimi bursting into shards at the end of the flashback doesn't make sense unless you realize that the Mimi there isn't a physical entity but an allegorical one, a metaphysical representation of a motherless child's instinctual desire for motherhood --A personification of Cocona's DPI and her powers, which fragments and is lost into Pure Illusion as her baby mind fails to control it. Lacking a mother figure, her conception of motherhood falls apart and descends to the deepest recesses of her subconscious: Pure Illusion.
This is also why it's so hard to pin down which PI exactly is Cocona's. To some extent, they all are. PI is Cocona's world, all of it: Mimi tells us this directly.