The tool your looking at will do what you need. It does not matter how much you face off the front ring you only take a minimal amount off the front of the lug abutment. I have never ever seen an action where the lugs started cutting before the action front face.
I guess you could cut with the tool until you lose extraction and need the handle moved, but I have not done that on the 50 or more that I done using them.
The tool cuts the tops off the factory threads enough for you to run the oversized tap in.
Take a look at the boltface squaring tools while yall are buying tooling.
