Not necessarily. Whether you down the beetroot encapsulated nitrate as fresh product or in its freeze-dried form doesn’t matter. The bacteria in your mouth will deal with the nitrate in whichever form it has entered the oral route. As long as the bacteria is there, it will do the trick.
The question is rather, how much nitrate does your product or powder contain? That’s a difficult to answer question, because the beetroot’s nitrte content depends on many factors, such as soil, climate, and harvest time. So, different batches of the same product may have different nitrate concentrations.