Mark - a concave face, which is what you are talking about, is going to increase the vortex strength, a convex will reduce the action. As for '.....to the back', I am not sure what a concave cut into the back of the lure would have.
I think it may have an effect on roll. I have just checked a few of my under water videos, and I think that a hollow feature down the back might reduce roll. I am thinking that it would have a similar but lesser effect of having a dorsal fin down the center of the lure.
To kill the roll would only require a short dorsal fin, say 5mm (3/16"). But again, as with all my stuff, this is theoretical, but it does fit.
Often it is difficult to see what effect, if any, such features have. I am thinking back to my 'various lips' video, were I compared round, square, coffin and shaped lips. It was very difficult to see any difference between round and square, also coffin and shaped. Likewise, your concave back will be a subtle effect.
In order to confirm an effect, you have to exaggerate the feature; a wide shaped body with an exaggerated concave back, directly comparing with the exact shaped body with a rounded back. And then, you may need close video, preferably submerged, head on, to observe the difference if it is too subtle, but if the effect is too subtle when exaggerated then then there is hardly any point in taking it further. Who knows, there may be another new idea waiting to be discovered.
Whether roll is a good or a bad thing, I do not know. What I do know; is that fish do not roll when they swim. Personally; I do not like roll, but I know other very experienced builders do.
So, after pouring my thoughts out, getting back to your point; I think more action due to the concave front end, and a more stable swim (less roll) due to the concave back. Boy I wish I had my workshop and a test tank, I would be out there right now. carving up a bunch of test lures, to test this idea and the lip/body funnel effect.
I hope someone takes on these ideas and comes back with a report. BUT, they re only ideas, they not pan out.
Of course, rattle traps swim back first, and so the whole of the back length is effectively the lip.
Dave