By using that same logic, it doesn't say you can either.I do not find any recommendation in their manual saying that
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I had the triple charger (Thor) for my P3P and charged three batteries and the remote at the same time with no problems. I have also charged the remote and one battery on the P4 at the same time, no problems.
I believe that it was only for the P3A due to the lower power (wattage) charger. I have always charged my P3P and controller together and also my P4 with no issues. They have 100 Watt chargers.