With the HPS lamp, there are few AEG/Philips Triangel in my neighborhood which have GE Lucalox T 150W which have a similar behavior. They usually don't cycles, but once per month or several months, cycling constantly. One of them located near my hostel:
https://www.lighting-gallery.net/gallery/displayimage.php?pos=-141496. When it is cycling, it cycles continuously, sometimes into the night and usually stop after a while, usually early in the morning.
When they don't cycles, they simply vibrates in brightness.