How do you define 'DOF'?
Q1. If you shoot photo A using FF+50, then photo B using APS+35, at same F number DoF of photo B > photo A
Q2. If you shoot a photo A, then crop the border out leaving a smaller photo B, magnify it back to original size, DoF of photo B < A, but since the framing has changed, it's not the same photo anymore.
And that's it. DoF on two different format has two trends fighting against each other. One tends to decrease DoF (entrance pupil size), another tends to increase it (magnification or CoC). So here's the answer:
Answer 1. When comparing using the same Angle of View (effective focal length), larger sensor always has less DoF.
Answer 2. When comparing using different Angle of View, like comparing two different photos, it DOESN'T MAKE SENSE.
It seems most of the arguments and 'confusions' are around point 2, which is not a valid argument at all. Different Angle of View can never give you the same photo, you are comparing apple to orange.