Well, it's been more than a couple of days, so someone has to respond :-)
I don't have an answer for you, Rog, just more questions. Frankly, it would not have occurred to me to record atmospheric pressure, though maybe it's good that you did. Still, 14mb isn't an outrageous amount, and I am at a loss to explain why it might matter.
So for now, maybe we could just clarify a few things about your procedure. I'll propose a sequence of events, and you can correct as needed.
1) You took off the strings, released truss rod tension for a week, then put on new strings. Fine - probably overkill, but at least you know you were thorough.
2) You got comfortable with Joey's technique, especially the parts about making small adjustments and measuring, and things got better. No questions here either.
3) At 2-3 weeks with the new strings, things got really sweet. So here's the first question: was the bass then stable? Were you able to play for several days or a week, without making any further adjustments?
4) Pressure increased, and the neck suddenly straightened out. I assume you mean that you started buzzing from the 4th to 14th frets, so you suddenly lost some relief, right? Were you able to measure the change in relief?
5) Pressure returned to normal, and the instrument is sweet again. Important question here: did you make any adjustments after step 3? I.e., did you attempt to adjust when the pressure increased, and/or when it returned to normal, or did you just leave it alone without making any adjustments during this peak? It would be very interesting to know if the neck - without any manual adjustment - went from proper relief, to not enough relief, and then back to proper.
Just for perspective, when it was sweet, what were the measurements for relief and string height?
And if we have a meteorologist or something out there: if I measured 1014mb at sea level, how far up would I have to go to read 1000mb? (I need to get up early, and am not going off to research this tonight...).
-Bob