The difference is that Hellenic generals usually fought leading the tactical reserves. They kept control on the battle until these were committed. In fact another saying is that once a general has committed his last reserves he can't do different than line up with the men. Another point with those Hellenic generals is of course the imitation of Alexander himself.
A Germanic general, for example, would have most likely to be found in the first line of the centre of his army, and so he would be leading the first full scale attack on the enemy. After that he would most likely not have been able to control the battle. In fact his subordinates would have had difficulties to even find their general in that chaos. That does not follow that they had been poor generals, it is more that the lads expected their leader to do so.
Another example for commanders leading from behind would be Xerxes and Darios (and with them probably Persian commanders in general).
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