That's perfectly true, and too often masked by the fact that too many people tend to find it easiest to think in mass 'profiling' - which is almost always guaranteed to be inaccurate a fair % of the time.
And your unspoken point [I assume] that when it's the man fleeing an abusive partner [female or otherwise], that man will face the same difficulties discussed above - is quite right.  
Her remarks remain as valid if one changes the pronouns - and her remarks are Very valid - THAT'S the import take-away I think.  I know, having been there myself..