I am no physics expert, but I was a Physics major for the few semesters in college, so this is what I believe happens. Even if you use top spin when the cue ball hits the rail, the cue ball will have aquired top spin as it leaves the rail(not backspin). Part of the reason is that the cloth on the rail will grip the cue ball and spin it the other way. Since forces come in pairs, the cue ball is pushing against the rail with topspin, the rail is however pushing it back the other way. When the cue ball has completely compressed the rail, it is momentarily at rest. There is no spin. Once it starts being pushed off the rail it should have the spin the rail imparted on it. That is, when looking behind the cueball as it leaves the rail (opposite side from the shooter), it has topspin.
Here is an example of how spin can be reversed. Get a superball or rubberband ball and spin it with backspin and throw it forward a bit. When it hits the ground naturally it comes backward, but on the second bounce it goes forward again and so on. Spin on the ball grips ground, ground grips back and reverses the spin. This is not a perfect analogy I admit, but the simplest one I can think of right now.
Now there are other factors that come into play. The cueball actually sinks into the rail and because it contact above the equator of the cue ball, the rail will actually push the cue ball slightly into the table and the cueball leaves the table for a fraction of time. The harder you hit, the longer it leaves the table. In this case, the cue ball may have no spin and upon contact with the obect ball will stop dead (as in your example).
This is where my physics fails me. I did switch majors so if anyone wants to correct and pick up from here please do.
I believe however that it is possible with the right amount of topspin and speed of the kick, and an object ball very close to the rail, you might be able to produce some, though negligible amounts of draw. When I say negligible I mean a couple millimeters. However this could just be due to collision from ball to ball or other factors that I can't think of at 4am.