Harold,
Your reasoning for the alignments was the explanation I was given by the fitters I was working with the first time I had this shown to me. I had a look at the alignment reports for a couple of the lathes at work (2 Harrisons & a Gildemeister) – all showed a maximum permissible vertical error of 0.02mm/300mm (high only) and 0.01mm/300mm horizontal error (facing towards toolpost only) on a test bar mounted in the spindle taper.
The "bending the bed" method you mention for Myfords was also employed at Boxfords on the later 1020/1130 machines – but the bend was applied before the pass under the induction hardening device. This equpiment (Radyne IIRC) was mounted at one end of a Snow surface grinder. In use, the bed was put on a fixture & a bolt put through the middle of the bed & torqued to a particular setting. The grinder table was passed slowly under the heating coil of the hardening device (which was shaped to have an even clearance over the bed formation) and heated a narrow area across the width of the bed. A coolant jet followed the heating element to quench the surface. After hardening, the tensioning bolt was removed & the bad was ground in one setting with a form-ground wheel (a diamond roll dresser was mounted on the end of the table opposite the hardening device). The basic formation had been gang-milled on the bed casting prior to hardening & grinding.
My recollection is that the "bend" in this instance was introduced to control distortion during the hardening pass – the heating coil had to remain at a set clearance & it was found that the bed distorted during heating, causing the heating coil to touch. This burned holes in the heating coil.
There may also have been issues with the hardened bed being "humped", which required more grinding to clean up – putting the "bend" in the bed before the hardening pass was a solution to both issues. This all happend around early 1981 – I spent 10 months or so at Boxfords finishing my apprenticeship (after the company I originally worked for closed) and was involved in putting the supply in to the new grinder/hardener installation & provided assitance as required during the initial "working up" of the installation.
Nigel