Buddhist teaching is not averse to self-control. If Stoics became interested in the Buddhist theory of the mind (I'm thinking of "textbook" Buddhism and glossing over the great variation in actual beliefs and practices) it's not obvious to me that they couldn't incorporate elements of it. I also think that Stoicism has some elements in common with Taoist-influenced Buddhism; and it's not absurd to think of "clinging" mental states as ones that are contrary to nature (especially within the framework of the Buddhist theory of causation).True the word counter was a poor choice. You are correct there are quite a few similarities between the two, the most obvious difference that comes to mind is the fact that ancient Greek philosophy (specifically Stoicism) promoted primarily self-control and logic to attain tranquility while Buddhism promoted quiet meditation/training leading to the removal of negative emotion and thoughts to attain inner peace.
It is this conflict between the approaches that would be of interest to me.
Epicureanism also has some clear points of affinity to "textbook" Buddhism.
This isn't really to contradict, but just to elaborate on my earlier post.