The foldable tires still have tire beads - it's just that they're made out of Kevlar cords instead of steel cords and can therefore be folded.

But there's no way for either your pump or the Presta valve stem on your tubes to know that one tire has a Kevlar bead and another tire has a steel bead. So any problem with the security of the connection between the pump head and the valve stem has some other cause and is independent of the bead material.