I have been unable to nail down an answer to this question because I do not have access to this camera to test with.
I'm thrown off a bit by the specs on the camera. The "progressive" on the camera are marked as 24f and 30f, not 24P and 30P. The best info I can find thus far states that it actually records "fielded" media with each field in a frame containing the same image, giving the illusion on playback of a progressive image.
The first question is, is this really just a different name for PSF (progressive segmented frames)?
The second question is, is it REALLY 24 fps or is it actually 23.98? MANY cameras from all the big manufacturers are guilty of putting "24" in the camera menu when they are actually capturing 23.98.
A final possibility is, the camera may actually be capturing and playing at 29.97 while inserting 3:2 pulldown, in which case none of this matters.
Sorry to throw this back in your court but...
Do you have any idea what your camera is really capturing when you set it to 24f? Does anyone else out there with the same camera know? The answers may help me work out an answer the the original questions.
Having said all that, Media 100 v13 is available as a Try and Buy. It is fully functional for 2 weeks with no watermark and no hindrance whatsoever. You could always give it a try and see what happens. This would be the fastest way to answer your question for now.