I am new to this board, and recently came across and was intrigued by this thread. I particuarly noted the difficulty at answering the question.
My observations are that almost all good (read pro) players play with a piston stroke. The only exception I am aware of is Mike Davis who has a pendulum stroke like no other (it comes from the shoulder with a locked elbow).
Since we humans do not have pistons, only hinges (shoulder, elbow, and wrist), obviously Rick's piston stroke is derived from manipulating two or more of these hinges and levers to move the cue in a straight line for considerable distances. He has said that this is accomplished easily and automatically without thought, and I agree with him (its a mind/body/muscle memory thing).
So, the answer to Ricks question is that the exact same mechanism that produces a piston stroke also provides a "flat spot" at the bottom of a pendulum stroke, if wanted.
I would conclude from this that either there is no flat or level spot (if one is using a true pendulum stroke as Rick is thinking of it (utilizing only the elbow hinge), or if there trully is a flat or level spot (that would be observable by slow motion camera) then the use of a second and maybe a third hinge is necessary.
Whether a stroke utilizing more than just the elbow is still a pendulum stroke is another question, but no doubt it could be accomplished just as thoughtlessly as Ricks piston stroke.
I personally would not advocate a "true" pendulum stroke created by only one hinge, but as to whether one could play well with such a stroke I invite you to look up a video of Mike Davis. He plays well and his tip (and entire stick) move up and down like no one else that I have seen.
As I see it this is the only possible answer to Ricks question.