The vocabulary is a map
Tasbih is the term that travels furthest: it is what the object is called across Turkey, South Asia, Southeast Asia and most of the Gulf when speaking English. Misbaha dominates in Levantine and Gulf Arabic. Sebha is Egyptian. Sibha appears in classical usage. A supplier who only recognises one of them is telling you which markets they have actually shipped to.
It matters commercially because the specification changes with the vocabulary. A Turkish buyer asking for tasbih usually means 33 beads in a darker tone with an olive or barrel profile. An Egyptian buyer asking for sebha usually means 6–10 mm pressed amber at a keen price. The word arrives before the brief and is worth listening to.