[Elecraft] Internal K2/K3 S-meter resolution for computer recording?

[Kristinn Andersen]

I would like to use the K2 or the K3 occasionally as a "field strength
meter", for example take the rig a couple of km/miles away from my QTH and
record the signal strength from my home station.  This would be useful in
antenna experiments.

So, the question is:  How much internal resolution of the S-meter reading do
we have in the K2 or K3 (or other Elecraft rigs, for that matter), that
could be read by a computer?

For example, I have made calibration curves for my IC746, which gives me
internal S-meter readings from 0 to 255, and I have made corresponding dB
charts.  It appears to me that the K2 gives only figures from 0 through 10
using the BG (Bargraph Read) command, which is too coarse for such
measurements.

Any further info on this - for the K2 or the K3?

73 - Kristinn, TF3KX