No, because of the angle and the path the CB takes into the rail, inside will make the CB run.
From the diagram and the angle the CB takes into the cushion, it looks like the CB might have a bit of draw left on it as it collides with the OB. But it's a close call and I'm not sure if that was your intention? If the CB is allowed to develop follow (topspin), then I agree.
Plus to the extent you are cutting it a little thinner with inside the CB will retain a tad more energy.
This is the main point I wanted to make. The idea that you can reduce CB speed off the OB with outside english, by enabling a thicker hit and letting throw make up the rest of the cut angle, really isn't true to any significant extent unless the balls are fairly close to each other, and essentially no swerve takes place. This is because the CB is thrown in the opposite direction along the tangent line (equal and opposite to the OB's throw velocity component along the same tangent line - from Newton's third law). In other words, for the diagrammed shot, if the OB is thrown to the left (as seen from behind the 7-ball), the CB will pick up exactly the same component of velocity to the right (along the tangent line); its speed is increased by the ball-ball friction. If you're just reducing the OB's throw component with outside, then, accordingly, the CB won't be slowed as much by the friction.
Hitting thicker does yield a potential reduction in CB post-impact speed because of the slight shift in aim line direction. But this is a very slight change, roughly a tenth of a degree or two at typical CB-OB separations. It's so slight that just about any swerve along the way will generally cancel it, or more than cancel it, in effect producing a larger cut angle than meets the eye. Since this is a drag shot, as you indicated, swerve will occur. That's why I believe that swerving from right to left with inside, as opposed to left to right with outside, is the better option...as far as killing speed off the
OB.
You will often see players use inside on this shot to go three rails for shape. Tough to do if it kills the CB.
As mentioned, I'm not sure what state of draw/stun/follow is indicated in the diagram. If draw, then inside would be called for. If stun, it doesn't make much difference whether inside or outside.
Just discussing.
Jim