the tests have been done already. It is, in fact, affected by the heating of gas molecules which is why crookes radiometer does not work in a strong vacuum. https://en.wikipedia.org/wiki/Crookes_radiometer
Now, if you build a nano light mill like they did at UC Berkeley, you can make a light mill that does not use gas heating to move it.
https://phys.org/news/2010-07-nano-sized-mill-micro-sized-disk-video.html
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