I was going to put my post in a fresh thread but this is relevant enough.
I have the same SKS pump head on an Airmenius floor pump, it has not been used since last summer. It was blowing air from the schrader valve port while trying to inflate a presta valve tube. I learned something, the head uses a small rubber ball to close the unused port, least path of resistance.
Before I stripped it I wanted to know if there was a fine spring that was going to fly across the kitchen never to be seen again. SKS are good on supporting parts but assembly drawings not so good.
The worse by the day YouTube or rather user tublos1 delivered the goods. I found the culprit for the fault, I used the pump to inflate a tyre on my mower that had been treated with mousse to repair a puncture. The tiniest trace of the stuff had got into the valve port and stuck the rubber ball. Debris or wet crud could cause the same fault. Cleaned the innards and applied a minuscule trace of silicone grease to the seals and refitted, all good.
So If you have not seen inside one and think one day you might need to here is the helpful tublos1 video.
Edited to inlude tip: At 20 seconds in he levers the part that holds the two valve block segments together using a watch makers driver. You don't need to do that.
Remove the valve stem seals and gently push using a dowel or pencil stub the two valve segments (orange one, grey one) through the body. The part that the lock lever bears on will emerge from the other end.
View: https://youtu.be/MYNiaI7bmhg