Wildturkey,
I disagree that 1.4.4.2 applies only if the engineer specifies lo-hy. Section 1.4 is there to give the customer and the contractor latitude in what to weld with. If the contract doesn't specify a process, the contractor chooses which to use and submits that to the engineer. The engineer might allow only SMAW with lo-hy but if that wasn't part of the bid, it will be an extra cost.
I do agree that GMAW-S is listed as an approved process and that there doesn't seem to be a thickness limitation for it's use.
But to answer your question, GMAW, FCAW, GTAW, and SAW electrodes are low hydrogen. FCAW could absorb moisture if not stored properly but usually is not a problem. SAW flux must be dry (not necessarily stored in an oven) but I wouldn't want to use SAW for welding thin guage materials anyway, nor would I use it in the field. GTAW is too labor intensive for production welding. So that leaves GMAW, FCAW, and SMAW for the usual choices. If I were in a windy environment, I would want to use SMAW for welding, especially considering wire feeders are awkward to handle for erection purposes. In a shop, I would use GMAW or FCAW.
Of all the approved processes, SMAW is most likely to absorb moisture. So it makes sense to me that hydrogen control applies to SMAW but not the other processes. I presume the >1/4" limit is there because thicker metal cools more quickly which gives hydrogen less time to diffuse out. And not many structural members 1/4" and under are identified as primary members anyway, although they certainly could be.
Chet Guilford