James, I would expect the difference between reading and distance PD
to be nearer 2mm than 4mm. The difference occurs because your eyes
swivel "inwards" to see an object close to you (an extreme example is
when you focus on he end of your nose!). But as Kayaker says, your PD
(the distance between the center of your pupils) is constant once your
head stops growing.
With prescriptions with a power less than 3 a discrepancy of up to 2mm
can usually be tolerated. The ability of our eye to compensate for
discrepancy is what the online retailers who don't insist on a PD rely
upon when they set all their PDs at the average of 62mm. For powers
greater than 3 and especially with progressive lenses absolutely
accurate PD measurements are required for optimal results. Accurate
PDs are measured using a device known as a pupilometer, all opticians
will have one so I would suggest that you track one down that is
prepared to provide you with values for distance and reading PDs.
Cheers,
James