This is actually a very common belief. People say frequently that once a tank is a nitrox tank, it is always a nitrox tank and cannot be filled with air. the only difference in this case is the way it was stated, but it means the same thing. Some courses actually teach that nonsense.
Here's why it is nonsense.
The thinking is that normal air is not clean enough, so using it in a nitrox tank can potentially introduce contamination that could cause trouble in a later nitrox filling. the problem is that filling a tank with nitrox that is not banked includes filling it with air, so you are potentially adding contaminants every time you make nitrox unless you are using air with a higher level of filtration than a standard air fill. Of course, if you are getting your tanks filled at the same place you get your nitrox, they should be able to fill your tank with that same higher quality air they would be using to make the nitrox.