Oddly enough, 250.146(A) directly addresses this point, specifically saying you do NOT need the jumper for the covers with the "flat, non raised" corners. At least, that's what the text of the code says.

In the handbook, the illustration right next to the section (pg 254) says the exact opposite. It appears to me that there's a typo, the word 'not' having been omitted from the artwork.

Keep in mind that this same section would apply to 'cut in' or 'old work' boxes, which are 'surface mounted,' even though the bulk of the box is within the wall. That is, 'old work' boxes do not require the use of jumpers.

Likewise, bonding works in both directions. That is, if the box does not require a jumper, then there is no need for one - even if the ground wire is terminated directly to the device. That's how I see it.