Already said about night grow ( one of the points of question) and the most powerful dehumidifier has over 200 m³/h air capacity (like this).
If your extractors remove any more air than 200 m³/h, then you have to put your dehumidifier outside.
Let’s say you put your dehumidifier in a room with 300 m³/h air flow. Now, your dehumidifier will start working. But by the time it was supposed to dehumidify the whole tent air, new air replaces the old air.
So, no, poor advice to just blindly say it should be in the tent and a household one would be a waste of electricity in a tent.