There is also a little button in one of the menus "Convert Morphed Object to Mesh," I think it is called.

Has the same downsides as the others.  It creates a new vertex object that has the SHAPE of the morphed original.  However, it changes the vertex number, reverts to default UV map, and loses all material and other groupings.

Unfortunately, the same is true for most distortions applied via the various tools available in the Assembly Room -- the twist, bend, bulge, and other deformers.  I hasten to note, if the distortion is small and/or regular enough you may get lucky enough to get the same vertices back (plus or minus a couple of edges).   So with luck you can get a working morph target out of that mess.  Larger distortions, though -- forget it!