Not the actual inner circles, though they are often helpful when comparing the position of other elements of the design, like the mark of value or legend. However there are occasions where additional beads appear in the legend. They occur during certain types, but also on 'unusual' coins, such as those struck from Welsh silver and also some 'fine work' coins. I'm therefore tempted to think that they had some significance beyond aesthetics, but I'm not aware that there are any records that describe their purpose. What is a 'fine work' coin, you ask? They appear to have been carefully struck on specially prepared flans to a (generally) high standard. Such as this: Sometimes, but not always, the privy mark is unusual suggesting they were produced before other coins of that type. I guess there could be examples where beads could be used to assist in identification with good effect. I'm thinking, particularly in that second image, that the 'Privy' mark is in such close promiximity to the beads that it could be used as a 'xxx points to bead' etc? Interesting stuff!