I don't know about Len's CK 25 Kioti, but some HST tractors do have a traditional clutch. So it isn't impossible - his might have a clutch.
I wouldn't have believed it either, but our
M59 Kubota is a HST and it has a traditional clutch that looks like any other - left foot pedal and all. I have no idea why, but there it is.
Pushing the clutch petal down interrupts the power to the input transmission shaft just like on any manual shift - except in this case the transmission is not a manual, it is a HST.
Frankly I wish ours didn't have a foot clutch. I can't see a use for it, and having it puts both steering brakes on the right side next to the HST F/R pedal. You might think it is for the PTO, but the PTO has its own clutch.