You can't really snug things up around the rim with a nipple driver, you need to count thread engagement.
Think of it this way, you start at 12 oclock and snug things up, by the time you get to 6 oclock you snugged things up around half the wheel, what was snug at the start no longer applies. It might work if you did it in a "cross torque" pattern, but not moving around the rim radially.
I'd say you have 2 options:
1) Back off the spokes to a point that you can reasonably be sure you have the same thread engagement
2)Take a spare spoke or a screwdriver bit and make a tool so that you can set all the spokes to the same position from the back of the nipple
Wheel Fanatyk: Wheelbuilding Tip #15 - Spin Those Nipples
Once you've done either 1 or 2 turn each nipple a set amount, one pass at a time.
The wheel should come in much better.
As I deal with standards and calibration, tension meters should all point back to a standard at some point in time. Our ears don't, while I have ears, I don't think I would cut it as a piano/guitar tuner so I'll stick with an actual meter.
On a side note, I saw a "How it's made" video on a wheel maker for what I'll tag as a major vendor, the techs lacing the wheels did the usual plucking and tuning, At the end the wheel went to QC where they actual measured things and recorded the numbers, based on the accompanying data chart generated I'd be eliminating the plucking and move to a meter. The spread on spoke tension readings would come down a bit.