I don't have a viable explanation for short or tang-less Morse tapers, admittedly handy when a long part impedes swap of the common version.
This Lodge & Shipley VS-20 lathe's tailstock is MT5. Some tooling is short and not only fails to eject, it occurs right at the travel limit, and can jam the handwheel/ quill. For every new user of this machine, this causes a lot of stress.
The block simply takes up space between back of tool and front of tailstock without damage to any components, and provides ejection otherwise
It couldn't be any more crude, a corner of flame cut plate simply drilled-faced and bored off center, then milled to centerline for the 2 slots.
If you machine one, start by finding worst offending taper you have. Retract the empty quill lightly to when it bottoms out. Insert that toolholder just as lightly then move quill out until taper seats. Gauge the distance from back of tool to face of tailstock, add half turn of travel.
The resulting dimension is thickness to finish web of the tool seat.
PS. Just noticed I orientated last pic incorrectly. The counterbored slot fits over tailstock quill, a good distance before the ACME feed screw bottoms out, not as shown, facing the tooling.
So much for only two hands and "Cheese" shutter trigger.
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