I will leave this to the experts, but in my experience, NO. Black oxide is not commonly referred to as a parkerized finish.
The term parkerized is, I believe, a long standing finish used by the military (and its contractors) on military weapons, at least since WWI. It uses some sort of salt chemical, and the resulting finish can come out in alot of difference colors, such as light green, dark green, light grey, dull gun metal, and dark grey, but not black.
Go to a gunshow, and look at the M-1 carbines, M-1 Garands, and Springfiled 1903-A3 rifles, and you will see all of the differents shades of parkerizing, even among the same model of rifle.
The black oxide finishes I have seen are very black, or a dark charcoal grey, are matte (not shiney), and have a slightly crinkly appearance. Think: "dark black dull finished spray paint" look.
Regards,
Mannyrock