I plan to use the tablet connected to the AC and powered on 24/7. Usually that's bad for the battery. Does this device work if i unplug the battery and only power it from AC? (Usually tablets don't power on without a battery connected)
Probably worth testing, I don't think anything bad should happen - I think your worst case is that it simply doesn't work.
If you do unplug the battery and plan to keep it this way, I would remove the battery entirely. 24/7 hard use could heat the battery considerably and still cause it to become damaged.