Jacob
What goes around comes around.
That's how I've always done them with a saw, before the frame is built up of course. 2 drill holes in the parting bead slot to cut the long side with a hole saw. 2 tenon saw cuts from the front, 2 from the back, whack it with a hammer to break it out. Important to choose pieces for the pulley stiles without knots or wild grain where the break out must happen, or it may not break neatly.