thanks a bunch.
Is this what you descibe typical for metal-halide lamps? Because if I burn a SON lamp on the same set it doesn't flicker at all.
There are two main differences that may play a role here, both are related to the arc temperature:
MH has a very hot arc, that needs to be kept in a free space without touching the arctube wall, in order to first prevent the tube from being destroyed and second to prevent excessive energy loss from the arc. The HPS has way colder running arc, whose temperature is within the limits of the material, so may occassionally touch it, so use rather thin tube. The related energy loss isn't rhat extreme because of the lower temperature difference.
The free space around the MH arc compare to the tight constriction of the HPS arc, gives the MH way more "freedom" to wiggle around. So it does, when the position stabilizing forces are not strong enough. And this wiggling, projected by the optics into the beam, causes the flicker. The signature of this flicker is frequency below (usually some wole number fraction of) the mains frequency.
With HPS the thin, tight arctube is constricting the arc so it has no room to wiggle at all.
The dark cathode region uses to be the same size, but because the HPS has a rather long arc, it is proportionally smaller, so affects less of the light. The typical 50W HPS has an arc length of about 20..30mm, about the length of a 250..400W MH...