When u say low profile are you meaning the diameter of the cutting surface or the length of the broadhead.
I really haven't noticed any heads cutting less then 1 1/8", although I recall seeing a couple that have 1" cutting diameters.
I have shot 1 3/16" cutting diameter and expandable 1 1/2" diameter heads, both shoot fine out of my bow.
If you mean the new shorter heads the only knock on them I have heard is that they have the potential to deflect more easily. But I've never tested that as all the deer I shot couldn't tell me whether my arrow went straight in or deflected slightly by the time I caught up with them
