Stoicism and achievement

Can Stoicism which is unconcerned with mere externals be eudaemonistic when actual achievement is surely a mark of a flourishing life? That is unquestionably a false dichotomy for the stoic practice of focusing on the present moment does not eliminate results. It could be said that it is a much more effective way of achieving a good outcome as one’s attentions are altogether gathered and not divided. Moreover being overly concerned with results or how your actions will contribute to your posthumous fame is a distorting factor:

If therefore it be a thing external that causes thy grief, know, that it is not that properly that doth cause it, but thine own conceit and opinion regarding the thing; which thou mayest rid thyself of , when thou wilt.

(from Meditations by Marcus Aurelius)