If the OP's question obviated the need for "what I wanted the cue ball to do afterwards" -- and instead it's just a matter of cinching the ball -- it's center-ball, all the way, every day. This is especially true on very tough / long distance cut shots, when I want to take deflection, swerve, and the effects of spin out of the mix.
For me, the question of "relying upon" spin/english to make cut shots is an Achilles Heel. If it's not needed (i.e. you're not using the spin to get the cue ball somewhere after pocketing the ball), you're introducing another couple of variables that you don't need.
It's better to practice center-ball cut shots to get used to them. Yes, you have to compensate for throw on certain angles. But that compensation is helpful knowledge, not a deterrent.
-Sean