The nominal meaning of the "design useful bomb load" is pretty much the same as the requirement to carry a specific weight of wombs to a given distance. Similar in idea to the requirement that a the Air Ministry Specification resulting in the Fairey Battle required it to carry 1000 lbs to a radius of X miles.
I think it is mostly to make the B-17 not look anemic compared to the British 4-engine heavies. If you do not use the 1600 lb AP bomb load, for the US normal operations it only carried a max of ~6000 lbs
Interesting term for a specified range figure with a given bomb load. Next, Australian Official histories online,
Second World War Official Histories
Not sure about the bomb load figure to make the B-17 look better, it definitely started early though, the first of the RAAF Official Histories were published in 1954, the first half of the war against Germany, Appendix 1 aircraft performance has this about the B-17 and B-24. Performance, still air range with bomb loads.
| Aircraft | Crew | Miles | Bombs (lb) | max speed mph/feet | serv. Ceil. Ft. | Guns | Remarks |
| B-17 | | | | | | | |
| Mk I B-17C | 6 | 3,000 | nil | 300 at 25,000 | 35,000 | 6 x .5-in & 1 x .3-in | As used by RAF |
| Mk I B-17C | 6 | 2,000 | 5,000 | | | | |
| Mk II | 6 to 10 | 2,050 | 6,000 | 290 at 25,000 | 27,500 | 9 x .5-in | As used by RAF |
| Mk II | 6 to 10 | 840 | 12,800 | | | | |
| Mk IIa | 8 | 1,900 | 7,000 | 295 at 25,000 | 32,000 | 9 x .5-in | As used by RAF |
| Mk IIa | 8 | 1,650 | 9,600 | | | | |
| Mk III | 9 | 2,740 | 3,500 | 280 at 20,000 | 31,500 (a) | 13 x .5-in | As used by RAF (a) min . Weight |
| Mk III | 9 | 1,140 | 12,800 | n/a | 26,500 (b) | 13 x .5-in | (b) max. weight |
| B-17G | 11 | 2,350 | 4,000 | 295 at 30,000 | 36,000 | 13 x .5-in | |
| B-17G | 11 | 2,250 | 6,000 | | | | |
| B-24 | | | | | | | |
| Mk I | 6 | 3,100 | nil | 320 at 16,500 | 36,000 | 4 x 20-mm & 5 x .303-in or | |
| Mk I | 6 | 2,000 | 4,000 | n/a | n/a | or 6 x .5-in & 1 or 2 x .3-in | |
| Mk I | 6 | 1,500 | 8,800 | | | | |
| Mk II B-24C | 6 to 10 | 2,100 | 5,000 | ? | 34,000 | 7 x .5-in or 11 x .303 -in | |
| Mk II B-24C | 6 to 10 | ? | 8,000 | | | | |
| Mk III B-24D | 8 | 2,470 | 3,500 | 275 at 20,000 | 33,000 | 8 x .5-in & 4 x .303-in | |
| Mk III B-24D | 8 | 1,290 | 12,800 | | | | |
| Mk VI | 8 | 2,290 | 4,000 | 270 at 20,000 | 32,000 | 10 x .5-in | As used by RAF |
| Mk VI | 8 | 990 | 12,800 | | | | |
| B-24G, H & J | 10 | 2,500 | 3,000 | 300 at 30,000 | 34,000 | 6 or 10 x .5-in | American . Max . bomb load 16,000 lb |
By 1962 the performance table had added, in the volume on the first part of the war against Japan,
| B-17E | 6 to 10 | 2,500 | nil | 295 at 30,000 | 27,500 | 8 x .5-in and 1 x .30 in | |
| B-17E | 6 to 10 | 1,415 | 2,500 | | | | |
| B-17E | 6 to 10 | 1208 | 4,000 | | | | |
| B-17G | 11 | 1,100 | 12,800 | 295 at 30,000 | 36,000 | 13 x .5-in | External racks could increase bomb load to 17,600 pounds |
The US AN-M56 4,000lb. general purpose bomb was developed in 1941.
US AN-M56A1 4,000 pound bomb, first production in January, then some in March, April and October 1942, then production April 1943 to March 1944, all up 6,225 made. Superseded by the HC Mk V, production from April 1944 to August 1945 at least, 38,805 made. USAAF Statistical Digest has 1,220 x 4,000 pound dropped in theaters against Japan in 1945.
Roger Freeman's Mighty Eighth War Manual on page 223 has the same photo of the aircraft on the ground with the bombs on the underwing racks; note the image on your linked post is cropped tighter. The caption for the photo reads:
"M-44 1000 lb GP slung on a 303rd BG B-17F's wing racks, 18 Sept. 1943, ready for a mission to France. Single yellow band round rear and front of bomb casing indicated TNT or Aurotal [sic] filling."
And the plot thickens, using the Mighty Eighth War Diary the 303rd had flown a mission to France on 16 September, dropping 500 pound bombs, then the group's next mission was on 23 September, again France, again 500 pound bombs. Then on 26 September the 3rd Bomb Division mission to France, only the 96th (19 a/c) and the 388th (21 a/c) bombed, with 38x1000 pound, 228x500 pound HE and 840x100 pound Incendiary, the 94th and 385th groups aborted. The accompanying photograph is a shot of the 94th group with a pair of 1,000 pound bombs on external racks, the numbers suggest the 96th also carried the external load, even so at 5,900 pounds per attacking bomber they are not big loads, perhaps the external load was to compensate for the loss of bomb weight carrying the incendiaries.
On page 153 of the same book, in a section about the B-17F, it says this:
"The B-17F had the capability to lift much heavier loads if external wing racks were used when it was possible but not practicable to attach 4000 lb bombs. With the prospect of increasing bomb loads to short-haul targets, in August 1943 B-17 stations received kits for installing external racks on their aircraft. A few missions were flown during the next month where, in addition to a normal internal load, two 2000 lb bombs were carried externally by each Fortress. With the adverse effect on climb and high altitude performance making formation flying even more difficult and considerably reducing endurance, VIII BC soon decided that high altitude bombing was sufficiently difficult without this added burden.
Mighty Eighth War Diary usually lists the number and types of bombs dropped by the heavies in August and September 1943, a pair of 2,000 pounders on Bonn 12 August, another pair on French airfields on the 15th, 368 dropped on Watten France on 27th from 187 B-17, 7 September 116 dropped on Watten from 58 B-17, the B-17 could carry 2x2,000 pound HE internally.
The evidence is there for 1,000 pound bombs dropped from external racks on a small number of missions, but not 2,000 pound.