Very interresting speculation.
One death involved a bullet through the head.
Her body was blown up when Todd used grenades in his stand-off with Nash Straw.
Nash saw her behind a corner before the body was blown up, but she only attacked him once her body in the trunk was blown up. Maybe she was ghosting, being either immaterial or not fully aware?
After all, she never hesitates for a second in attacking those she wants to kill.
My immidiate ide is that she have a repair system (maybe nanites) that will heal even mortal wounds like a bullet in the brain. That explains why she saw Nash reclaim her body. But then there is a secondary system which make her a new body if the old one is compleately destroyed in an explosion or something else.
The idea about fire/explosions actually healing Oasis goes nice with her pyrokinetic abilities.
But if that is her only way of regenerating, that would mean all of her resurrections would be more-or-less pure luck.
That is, if Nash had just buried her, or left her to rot anywhere far from any fires or explosions, she would not be able to resurrect. Then she would be far from the immortal warrior she appear to be right now...