This is a "Trust but Verify" situation. And not just with the O2 mix.
* I should be able to trust that the operator provides a tank with 3000 PSI (or whatever full is) but you need to verify that with your pressure gauge before you jump in the water. Short or even empty tanks get delivered all the time.
* If you see the operator diligently measuring and labeling tanks with the O2 mix, then it's likely to good to trust that number. If you see no evidence that anyone has actual awareness of the mixes, then you need to measure it yourself.
If you can't measure I would still Pay for the Nitrox, but set your computer to an Air Mix and just know that you are Probably getting a better safety buffer. Worst case you are out 10 bucks and no damage done.