I've never seen the word countersinking used this way.
I just think of it as driving the screw.

Same difference....I agree with you Bob. I always think of counter
sinking nails because a nail is going to stop flush (theoretically) and
you have to do some extra work to get it below the flush line. There is
a term for that extra work you have to perform but I can't remember it
right now. Screws do it automatically.

Oh yea....that extra work is called "counter sinking".....gotcha.