I have the same problem with the ABS tabs. In my case it's the plastic plate at the back of the tab.
I use a Bateman tab &, after I trimmed it to size, it works great. So does the Super tab from ABS. It's a simple traditional type tab made from Cordovan.
I've trimmed all my tabs so that when I draw the string, I have about 3/8 in. of bare finger tips showing. I can feel my anchor really well. Still protect my fingers & with the tab trimmed, the tip of the tab on my first finger doesn't gouge my face. Don't know if this is right or not but, it works for me.