Nice theory. I do find it rather odd that a robot would be forgetful about recharging their batteries to full though.
If the robot were in battle and couldn't access a power source that would be one thing, but once any danger was passed, their own preservation routines should direct them to recharge.
Instead she's all distracted and upset due to Aaron....I guess this makes her more human in terms of behavior.
Or perhaps it is sabotage by the Controller.
What I don't understand is, why can't Friday download herself into the armor and stay in her body at the same time? Ultron does that all the time, creating an army of bodies all running his program.