Forget DCP for a moment & what he asked for.The OP said he was asking about the very thin cut and not other ways to play the shot.
If you practice the shot, you will get better at it and it will be more useful. You might not get your comfort zone up to 90 degrees, but you can move it past 75. In some situations, you have to shoot hard shots you don't want to shoot because there is no safety play. If you're playing eight ball against SVB and you are on the 8 and he has five balls and the only reasonable shot you have is a very thin cut to the side, it would be suicide to try to play safe. If you have practiced very thin cuts, you will have a better chance to beat SVB is that shot comes up.
The 90-degree cut is most useful as a proposition shot. See the offer above by @Agent 99 -- someone has a chance to make some money from the shot.
I practice thin cuts frequently and I play them in games.
In my scenario where would you shoot the 1 ball?
For arguments sake take the 5 off the table & put the 8 in the jaws of the bottom right corner.
Playing 8 ball
What are you going to do now?