We might, it depends on the scale of the project, and if someone proposed a proof of concept mission and is ready to finance it.
For a small scale technology demonstration mission such as the ones regularly performed aboard the ISS, it could be, for example, proposed through CASIS as a Physical and Materials Science R&D project, but it likely won't win any government sponsored grants (competition is fierce).
As for NASA, it depends to what TRL (Technology Readiness Level) can you qualify it. For a full-scale system component, it is currently only at TRL2 and lacks breadboard tests for independent verification and validation (IV&V) of the technology (TRL3), full-scale experiments (TRL4), and validation in representative environment (TRL5), before it can move to prototype demonstration in relevant environment (TRL6) and beyond.
NASA Eagleworks, in the most recent related paper that NTRS will return, in section V. Application of Technology to Space Exploration Missions, interestingly avoids description of small-scale technology demonstration missions and jumps right to potential full-scale application of the technology with a couple of interplanetary mission examples (to Mars and Titan/Enceladus at Saturn). Those serve as demonstration that what currently stands on paper (and has yet to be independently verified) has potential real-world applications, but that's it. Paper's summary clearly states that:
The near term objective is to complete a Q-thruster breadboard test
article that is capable of being shipped to other locations which
possess the ability to measure low thrust for independent verification
and validation (IV&V) of the technology. The current plan is to
support an IV&V test campaign at the Glenn Research Center (GRC) using
their low thrust torsion pendulum followed by a repeat campaign at
the Jet Propulsion Laboratory (JPL) using their low thrust torsion
pendulum. The Johns Hopkins University Applied Physics Laboratory has
also expressed an interest in performing a Cavendish Balance style
test with the IV&V shipset.