On my Z8 and I suspect on the Z7II, Zf and Z6III it is the same. You can set min SS to a set speed or automatic. The Auto setting is 1/f. Then you find fine tune that by adding or subtracting a number of stops in 1/3 stop increment. So Auto and plus 1 stop would result in basically 1/2f, etc. That makes the process lens independent which makes sense except for long lenses and moving wild life you would probably need to change the min shutter speed to be faster than say on a mid range zoom in general shooting.The limitation of Fuji's implementation of Min SS is it's really lens-specific. Yes, I can set the Min SS on my X-T5 anywhere from 30 sec to 1/8000 sec but as soon as I switch lenses, it becomes much less helpful unless I switch the Min SS along with it.
A better idea (I think) is to allow the user to set a Min SS that's some multiple or even fraction of 1/f. My vague recollection is Pentax had something like this many years ago.
With Fuji one would have to do it with the three different Auto ISO settings and remember to switch.

