I've also just tested out and noticed mortar have a min range of 50 m or so. I think this should be reconsidered as it looks the US mortar had a minimum range of 100 yards = 90 meters
Actually, Pzt_Serk, any mortar can have a minimum range of 0 m if the elevation is set high enough and the wind is right. All the fuze activation, if any, occurs as the round travels it's ballistic arc, which can be several hundred feet for a 60mm and a few thousand for a 120mm.
The minimun ranges in manuals are the minimum range the mortars can be used against a target and have a low probability of producing casualities in the owning mortar crew or friendly troops. When set up on flat, even ground, most mortars with a tripod support cannot be raised higher than about 92 degrees (a design feature to ensure that safety factor), but if you set up on a slope, you have to factor that in. Plus, things like a fizzle charge that only half burns or a strong headwind, or a fool of a gunner who increases manually increases the mechanical angle can drop rounds much closer than is comfortable for the firing side.
In your second link, Fowler quotes the "bursting radius" of two of the WWII US 81mm mortar rounds. What he should have pointed out is that there are two radius involved. The 90% probability of killing in the 10m to 15m Killing Radius and the 50% probability of producing casualties in the Casualty Radius. The bits of the round are going to fly much, much farther than that and the odds go down as the distance increases, but chuncks like the fin section can and do travel up to 250m from the point of impact and really make a bad day all the more bad for anyone so unlucky enough to get bonked by them. They can leave a mark - a conversation worthy bruise not worthy of a wound badge.
@ TheReal_PAK40 - Time Of Flight (TOF) for low angle 50mm and 60mm 6 to 10 seconds, high angle 12 to 25 seconds. For 80mm, 81m and 82mm, low ange TOF 25 to 45 seconds, high angle 45 seconds to 1 minute 30 (depending on charge). For 120mm and 122mm low angle TOF from 25 to 50 seconds and high angle between 1 minute 20 to 2 minutes 10 seconds (again, depending on the charge).
It is safe to say that all Times of Flight in the CC series are abreviated as are off board mortar and artillery response times. In the latest military version, CCMarines v6, this has been worked out to more realistic CFF and CAS timelines, but that was done on highly reworked CCM code. From what I have been told, not an easy or two week job to work back into previous versions that haven't been field stripped and re-assembled, but the ground work is done for CC6. So there is hope!
C'est magnifique, mais ce n'est pas la guerre.