Motorized: Mounted vs On Foot ?

[Liebchen]

I think you have summed up the advantages/disadvantages very well, the only other factor that I can think of is if infantry in hard halftracks (i.e. a hard target) dismount, then they can be targeted by soft firepower values.

The fact that in these games there are hard halftracks and soft halftrack units is not always well understood.

AFAIK, troops with hard halftracks only gain that armor benefit when they are in T-mode. When they're deployed, they're just infantry.