Did the Buddha according to the suttas mean anything else by the word "self" beyond simply the aspect of control/power?

It looks like according to [the Anatta-lakkhana Sutta] one aspect that is considered "self" by the Buddha is power or control. Why did he use the word "self" instead of just "complete control/power"? Was/is there more to it than just power/control? Was there anything more meant by the Buddha according to the suttas by the usage of the word "self"?