No argument about the test but before correcting anything on alignment of lathe parts make sure that cause of error is identified properly . Could be many causes but common ones are :
Natural cutting action . Variation of cutting speed radially and tool wear can cause non flat facing anyway if not corrected for .
Loose slides – sometimes biased one way and sometimes another .
Spindle out of line relative to bed axis either because of misaligned headstock or because of worn/poorly adjusted bearings .
Cross slide not at right angles to bed axis or at right angles to the spindle axis as is .
Reference to ‘at right angles’ is in the simple sense and not taking into account any chosen small variation of angle to optimise the whole alignment of lathe when cutting under load .
Facing test needs to be accompanied by a parallel turning test to get real answers .
The question of how flat facing has to be for different purposes has been well discussed .
I’ll just say that the more sophisticated the engineering that is being done the more it matters .
Conversely on small lathes doing model engineering it matters less .
Just what you need at the time really .
Michael Williams .