Strikes have always been tallied for a batter. Since the era of "pitch counts," they have been counted for a pitcher also, to estimate his efficacy.
My understanding is that any pitch in the "strike zone" (over the plate, between the shoulders and the knees), counts as a strike for the pitcher, whether it actually is, is put into play, or is fouled by the batter for "no third strike."
But suppose a pitcher throws a pitch that is objectively a ball (outside of the strike zone). Except that the batter swings with one of the following results: 1) puts the ball in play, 2) swings and misses or fouls for a strike 3) swings for a foul, no "third strike."
Is this pitch counted as a strike under any or all of the above three scenario?