So what you are saying is that it is best to do when the guitar player plays root, 3rd, 5th and in that order? Because all of the different ways of playing an Fm that is in your example, they all consisted of F, Ab, C, and only that. Maybe not in that order, but... I'm just asking, not trying to cavil. I'm asking because I honestly don't know.
Fm is just that, F, Ab and C. Always has been and always will be. The inversion is dictated by the lowest note. F in the bass is Root position, Ab (3rd) in the bass is 1st inversion and C (5th) in the bass is second inversion. The order of notes above the bass does not change the inversion. In the case of 7th chords, a 3rd inversion is possible.


drool