Just to add to what the guys have already said;
Because the Ackley case uses a sharper shoulder angle, the only place that factory case can headspace is where the shoulder meets the neck.
Ackley realised that he had no control over this dimension in factory rifles, hence the need to set the barrel back and re cut the chamber to get this dimension exactly right.
A CZ is a comparitively easy rifle to do this sort of work in, as it uses the mauser 98 type inner collar in the receiver, so the case head protrusion is controlled by the receiver and there are no cones or extractor grooves to re cut.
Where the Ackley improved cases come into their own is in re using a shot out barrel, for example if you have a heavy enough barrel in .308 which has a worn out throat, .30-06 Ackley improved has a straight enough body that it will totally clean out the .308 chamber, and take most of the eroded portion of the throat and rifling, giving you several thousand rounds of new life.
With 6mm, you probably wouldn't benefit from putting an 06 sized case behind it.