Just thinking aloud here… I have no experience of, or knowledge about the subject, but when did that ever inhibit anyone posting to a forum?
I don't doubt the delamination phenomenon, but it seems a bit odd that a symmetrically-applied, radial compressive force causes delamination, unless there are severe axial shear forces at work. In other words, the inner layers are being squeezed, orange-pip-like, towards the open end of the horn. Perhaps the horn also needs to be constrained axially, having given the wide end a plane bearing surface, so all layers can be supported, as the radial force is applied.
Alternatively, although I'd expect high shear forces to be induced, another way of squashing down the horn may be to try drawing it down through a succession of smaller diameter dies, as in wire drawing. Perhaps many small diametrical reductions between heats might avoid delamination. I would imagine that the horn might need to be soaking in whatever heating method used for perhaps tens of minutes, to make sure it's 'cooked' all the way through.
Another way of applying surprisingly large forces is by wrapping with strips of well-stretched rubber (eg strip cut from old inner tube), perhaps several layers.