Presumably it was the top slide that you moved and you are now questioning? (not the tool post whose postion wouldn’t affect parallel cuts, and doesn’t normally have an angular scale). If you are using the lathe’s leadscrew to cut screw threads (rather than a die) then the angular position of the top slide wouldn’t parallelism either. The only way I can see that the top slide could affect this is if you are turning to from the plaing outside diameter of the thread before using a die to cut the thread – you will need to confirm this.
If you are using the leadscrew to cut the thread then the slight taper then there are three possible reasons, none of which involve the top slide:
1. If you were using tailstock support with a centre then your tailstock might be slightly out of alignment. This can be easily corrected.
2. Some slight misalignment between the headstock and the bed – not normally so easy to correct
3. If the work is smaller in diameter closer to the headstock (left hand end) and the thread is slender without tailstock support, then the work could be deflecting under cutting forces. It seems however, that it is the other way round – larger nearer to the headstock. So perhaps not this.
The amount of taper you quoted is not going to make any difference to your screws if you have proper clearances which, in anycase, have a clearance between the male and female threads far in excess of 0.015mm on the radius.
Perhaps some clarification required of how you are making your threads.
Regards,
Clive.