What message might these frequent and violent changes leadership have sent to people living outside Roman Empire

The primary message this would have sent was that the Empire was in danger of collapsing since it was beyond clear that the rulers could not control their own population.

Explanation:

The message was that the form of government was broken and therefore the Empire was now not sturdy and cohesive enough to resist takeover by Eurasian peoples taking possession. once Rome became associate degree empire it did not in fact amendment at once. Some elements of the republic stayed enact. one amongst them was body forms.

The primary message this would have sent was that the Empire was in danger of collapsing, since it was beyond clear that the rulers could not control their own population.