Clive Foster's Atco experience is fascinating – I must try to remember it for future use.
I've been thinking about releasing things stuck in tapers. I hate whacking the things free – it must do the bearings a power of no good. Self-ejecting arrangements, captive draw-bars, folding wedges and threaded collars at the nose end are so much gentler.
The trouble with thinking is that the more I think, the confuseder I get. When a bullet is fired, the back of the bullet starts moving before its nose. A compression wave spreads out through the bullet at the speed of sound (ie the speed of sound in whatever the bullet's made from). This causes the bullet to be plastically deformed – if it can 'go' anywhere – increasing in diameter, and contributes to the bullet being forced into the rifling grooves, and stops gas leakage. (Impressive and somewhat hair-raising experiments were done in the early 1900s by F W Mann, which involved the recovery of fired bullets without their suffering significant damage after they left the gun.)
Something similar (although elastic) presumably happens when the tang or small end of a tool in a taper socket is whacked. I would suggest that the whack will cause a transient increase in the radial forces between the tool and taper. Perhaps, if the whack is smart enough (not from a dead-blow hammer), the compression wave is followed by a 'tension' wave, which helps release. It would be better, (wouldn't it…?), if the blow could be applied at the large diameter end, so that there was only a wave of tension. Perhaps a slide-hammer puller, applied to the outboard end of the tool, or whacking a rod lying in a deep axial hole, bored from the small end, the end of the hole being beyond the wide end of the socket.
If this sounds crazy, just think about how you'd get a long rubber plug deep into a tube with an ID smaller than the plug's OD. You'd easily pull it in, but pushing would be impossible. I believe this is how the trailer 'Indespension' units were assembled (are they still going?).
This isn't meant to be a serious practical suggestion, just thought-provoking. Perhaps I should have gone to bed before now…