Admittedly, it can be confusing. That is one reason why I avoid to use that word for politicians.I don't understand your usage of "strong".
But no matter.
Perceptions of strength in politics are very dangerous, because they are very consistently destructive and misleading.
True strength is by definition self-assured and therefore discreet, almost unremarkable.
More to the point, it is of questionable political value, because it evidences and deepens divisions and conflicts as other people need to reestablish their own goals and worth.
As a rule, only weak politicians ever mention their strength when given a choice. And only weak political systems care whether their leaders are strong. Those situations are usually preludes of disaster.