I've opened WRACo Vol 1 again.  There were .30-03 military (or at least FMJ) loads without the "w" because the illustration shows a sample with & without.  There was also (missed it before) a separate section on .30 U.S.G. loads, yet another name for the Krag cartridge.  The illustration shows a military cartridge without the "w" but with a CN (cupro-nickle) notation in the description.

The .30 U.S.G. entry notes that Navy contracts for W.R.A.Co. 29 and W.R.A. (with dots) 32 headstamps were for blank cartridges with a cannelure at the neck to hold a tan card wad.

The .30 Army entry indicates that FP (full patch) bullets were loaded and that some of the loads were GM (gilding metal) and that some did not have a "w" and were loaded with flat brass primer.

They manufactured components in lots or batches, with enough for whatever contract they were filling and then had leftovers.  The WRACo type headstamps appeared until the mid-1960s, depending on what was in the component bins.

Jeremy- if most of them could talk, they would tell you that it is pretty boring being in the closet, attic or basement for years.