i have always used both names. what really matters is do you need the cutter to shoulder or are you just removing material from the face of part. shouldering would be coming up to a step in the part. not all facemills have the correct geometry to be able to do that.
This one can go to a shoulder
This one can not go to a shoulder
but each cutter has their place and almost every one i know has both styles depending on what the part calls for.