Presta (bike type) have a valve built into them, so work with mini hand pumps and track pumps where the valve is designed to flow as much air as possible
Shrader 'valves' are held open by the pump and rely on the valve inside the pump to stop air going back, which is why they release air when you push the pump on but dont close the clamp.
Yes, you could put the end of a shock pump on a shrader valve pump, but this would be fiddly when a presta valve is smaller so less force pushing it off the pump so a lot of hand pumps can rely on the weight of the wheel to hold the valve onto the pump rather than needing any extra clamping mechanism.