I'm not discounting the struggle in Syria, but it seems fairly obvious that the opportunists well outweigh those who truly need asylum. In a real crisis the refugee population would be age and gender agnostic within a reasonable margin.
As for your supposed data: sending able-bodied men ahead, while women and children remain in refugee camps along the way (or die) is independent of the reason for leaving their respective countries.
And the many refugee camps all the way from Syria to Germany, in Turkey, Greece, and Hungary, are quite obviously proof that many Syrians fled.
If your goal is truly humanitarian you must be proactive. Yes, many Syrians fled due to immediate danger. Are those the ones making it to BAMF headquarters? Arguably not.
Plus, most syrians I've met told me that the reason why they left was because they were facing conscription. That's male-only.