Do you give any thought to your cell phone's battery? It uses the very same technology.Hi
My new rMBP (With force touch) is pretty much always connected to charger.
I am some times pull the charger for few hours.
Is it healthy? (In normal situation I would pull out the battery when connected to charger but I can't)
It will be an issue because if your battery completely dies then even when it's plugged in the system will automatically downclock the CPU and your system will run noticeably slower. This happened to me and that was what a Genius told me.You should discharge and fully recharge maybe once a month or so. Otherwise you risk having shorter battery life in the future. Which may not be an issue if you never plan to use it anyway.